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Khan Academy - Calculus 1-48

Constructing a unit normal vector to a surface | Multivariable Calculus | Khan Academy
Constructing a unit normal vector to a surface | Multivariable Calculus | Khan AcademyDeriving a unit normal vector from the surface parametrizationWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals…
- 30 May 12, 11:21pm -
Conceptual understanding of flux in three dimensions | Multivariable Calculus | Khan Academy
Conceptual understanding of flux in three dimensions | Multivariable Calculus | Khan AcademyConceptual understanding of flux across a two-dimensional surfaceWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-…
- 30 May 12, 10:47pm -
Surface integral ex3 part 4: Home stretch | Multivariable Calculus | Khan Academy
Surface integral ex3 part 4: Home stretch | Multivariable Calculus | Khan AcademyEvaluating the third surface integral and coming to the final answerWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integral…
- 29 May 12, 11:50pm -
Surface integral ex3 part 3: Top surface | Multivariable Calculus | Khan Academy
Surface integral ex3 part 3: Top surface | Multivariable Calculus | Khan AcademyParametrizing the top surfaceWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-e…
- 29 May 12, 11:49pm -
Surface integral ex3 part 2: Evaluating the outside surface | Multivariable Calculus | Khan Academy
Surface integral ex3 part 2: Evaluating the outside surface | Multivariable Calculus | Khan AcademyEvaluating the surface integral over the outside of the chopped cylinderWatch the next lesson: https://www.khanacademy.org/math/multivariable-cal…
- 29 May 12, 11:28pm -
Surface integral ex3 part 1: Parameterizing the outside surface | Khan Academy
Surface integral ex3 part 1: Parameterizing the outside surface | Khan AcademyBreaking apart a larger surface into its componentsWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/…
- 29 May 12, 11:24pm -
Surface integral ex2 part 2: Evaluating integral | Multivariable Calculus | Khan Academy
Surface integral ex2 part 2: Evaluating integral | Multivariable Calculus | Khan AcademyEvaluating the surface integralWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-…
- 29 May 12, 5:32pm -
Surface integral ex2 part 1: Parameterizing the surface | Multivariable Calculus | Khan Academy
Surface integral ex2 part 1: Parameterizing the surface | Multivariable Calculus | Khan AcademyParametrizing a surface that can be explicitly made a function of x and y.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calcu…
- 29 May 12, 4:28pm -
Surface integral example part 3: The home stretch | Multivariable Calculus | Khan Academy
Surface integral example part 3: The home stretch | Multivariable Calculus | Khan AcademyUsing a few trigonometric identities to finally calculate the value of the surface integralWatch the next lesson: https://www.khanacademy.org/math/multivar…
- 28 May 12, 9:02pm -
Surface integral example part 1: Parameterizing the unit sphere | Khan Academy
Surface integral example part 1: Parameterizing the unit sphere | Khan AcademyVisualizing a suitable parameterizationWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-in…
- 28 May 12, 9:00pm -
Surface integral example part 2: Calculating the surface differential | Khan Academy
Surface integral example part 2: Calculating the surface differential | Khan AcademyTaking the cross product to calculate the surface differential in terms of the parametersWatch the next lesson: https://www.khanacademy.org/math/multivariable-c…
- 28 May 12, 8:43pm -
Conceptual clarification for 2D divergence theorem | Multivariable Calculus | Khan Academy
Conceptual clarification for 2D divergence theorem | Multivariable Calculus | Khan AcademyUnderstanding the line integral as flux through a boundaryWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals…
- 28 May 12, 5:31pm -
2D divergence theorem | Line integrals and Green's theorem | Multivariable Calculus | Khan Academy
2D divergence theorem | Line integrals and Green's theorem | Multivariable Calculus | Khan AcademyUsing Green's Theorem to establish a two dimensional version of the Divergence TheoremWatch the next lesson: https://www.khanacademy.org/math/mult…
- 25 May 12, 6:58pm -
Constructing a unit normal vector to a curve | Multivariable Calculus | Khan Academy
Constructing a unit normal vector to a curve | Multivariable Calculus | Khan AcademyFiguring out a unit normal vector at any point along a curve defined by a position vector functionWatch the next lesson: https://www.khanacademy.org/math/multiv…
- 25 May 12, 6:15pm -
Newton Leibniz and Usain Bolt
Newton Leibniz and Usain BoltWhy we study differential calculusMore free lessons at: http://www.khanacademy.org/video?v=EKvHQc3QEowAbout Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyo…
- 16 Feb 12, 9:22pm -
Derivative intuition module | Taking derivatives | Differential Calculus | Khan Academy
Derivative intuition module | Taking derivatives | Differential Calculus | Khan AcademySal walking through the derivative intuition module made by Ben EaterPractice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org…
- 20 Oct 11, 1:15pm -
2011 Calculus BC Free Response #6d
2011 Calculus BC Free Response #6dLagrange error bound for Taylor Polynomial approximationMore free lessons at: http://www.khanacademy.org/video?v=m6oMgtGsAa4From:Khan AcademyViews:43880 72ratingsTime:11:52More inEducation
- 15 Sep 11, 6:17pm -
Proof: Bounding the Error or Remainder of a Taylor Polynomial Approximation
Proof: Bounding the Error or Remainder of a Taylor Polynomial ApproximationProof of the Lagrange Error Bound (the bound of the error)More free lessons at: http://www.khanacademy.org/video?v=yUUPP70FhpoFrom:Khan AcademyViews:222869 348r…
- 15 Sep 11, 4:32pm -
Error or Remainder of a Taylor Polynomial Approximation
Error or Remainder of a Taylor Polynomial ApproximationUnderstanding the properties of the remainder or error function for an Nth degree Taylor approximation of a functionMore free lessons at: http://www.khanacademy.org/video?v=wgkRH5UoavkFrom:…
- 15 Sep 11, 3:54pm -
2011 Calculus BC Free Response #6c
2011 Calculus BC Free Response #6cCalculating the 6th derivative at 0 from the Taylor Series approximationMore free lessons at: http://www.khanacademy.org/video?v=l1hJABkcuYIFrom:Khan AcademyViews:13833 19ratingsTime:02:58More inEd…
- 14 Sep 11, 4:22pm -
2011 Calculus BC Free Response #6b
2011 Calculus BC Free Response #6bTaylor Series for cos x at x=0More free lessons at: http://www.khanacademy.org/video?v=NQazgcu8c7sFrom:Khan AcademyViews:12619 22ratingsTime:09:59More inEducation
- 14 Sep 11, 3:56pm -
2011 Calculus BC Free Response #6a
2011 Calculus BC Free Response #6aTaylor Series approximation of sin(x)More free lessons at: http://www.khanacademy.org/video?v=1BGlbx67B6sFrom:Khan AcademyViews:15964 34ratingsTime:07:42More inEducation
- 13 Sep 11, 8:36pm -
2011 Calculus BC Free Response #3 (b & c)
2011 Calculus BC Free Response #3 (b & c)Volume of a solid of rotation and Chain Rule for rates of change.More free lessons at: http://www.khanacademy.org/video?v=lpXCvX6ZenMFrom:Khan AcademyViews:10706 22ratingsTime:08:26More inEd…
- 13 Sep 11, 6:45pm -
2011 Calculus BC Free Response #3a
2011 Calculus BC Free Response #3aArc length of a functionMore free lessons at: http://www.khanacademy.org/video?v=_G9JwTwjulAFrom:Khan AcademyViews:12823 18ratingsTime:05:42More inEducation
- 13 Sep 11, 4:10pm -
2011 Calculus BC Free Response #1d
2011 Calculus BC Free Response #1dArc length for a curveMore free lessons at: http://www.khanacademy.org/video?v=v-4QScXlN0oFrom:Khan AcademyViews:14798 15ratingsTime:08:34More inEducation
- 13 Sep 11, 3:04pm -
2011 Calculus BC Free Response #1 (b & c)
2011 Calculus BC Free Response #1 (b & c)Position and slope of particle's path at a given timeMore free lessons at: http://www.khanacademy.org/video?v=73eSiVcg4tQFrom:Khan AcademyViews:11307 18ratingsTime:07:39More inEducation
- 12 Sep 11, 3:50pm -
2011 Calculus BC Free Response #1a
2011 Calculus BC Free Response #1aVelocity and acceleration vectors for particleMore free lessons at: http://www.khanacademy.org/video?v=wtLTb_VaI-kFrom:Khan AcademyViews:17233 19ratingsTime:06:43More inEducation
- 12 Sep 11, 3:09pm -
2011 Calculus AB Free Response #1a
2011 Calculus AB Free Response #1aDetermining whether speed is increasing. Difference between speed and accelerationMore free lessons at: http://www.khanacademy.org/video?v=ppBJWf_WdmcFrom:Khan AcademyViews:94574 58ratingsTime:07:28…
- 12 Sep 11, 2:31pm -
2011 Calculus AB Free Response #6c
2011 Calculus AB Free Response #6cAverage value of a piecewise-defined function on an intervalMore free lessons at: http://www.khanacademy.org/video?v=ucghWyc2_qsFrom:Khan AcademyViews:15022 18ratingsTime:07:29More inEducation
- 12 Sep 11, 1:56pm -
2011 Calculus AB Free Response #6b
2011 Calculus AB Free Response #6bDerivative of a piecewise-defined functionMore free lessons at: http://www.khanacademy.org/video?v=RuEJzPQ_N10From:Khan AcademyViews:17189 12ratingsTime:05:16More inEducation
- 12 Sep 11, 1:41pm -
2011 Calculus AB Free Response #6a
2011 Calculus AB Free Response #6aContinuity of piecewise-defined functionsMore free lessons at: http://www.khanacademy.org/video?v=fr-8tjLoeDwFrom:Khan AcademyViews:25338 18ratingsTime:04:23More inEducation
- 12 Sep 11, 1:30pm -
2011 Calculus AB Free Response #5c.
2011 Calculus AB Free Response #5c.Solving a differential equation using separation of variablesMore free lessons at: http://www.khanacademy.org/video?v=R-2Uw10QgIoFrom:Khan AcademyViews:16545 27ratingsTime:09:15More inEducation
- 10 Sep 11, 12:40am -
2011 Calculus AB Free Response #5b
2011 Calculus AB Free Response #5bUsing the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimateMore free lessons at: http://www.khanacademy.org/video?v=hAAIgNzBGg0From:Khan AcademyView…
- 10 Sep 11, 12:38am -
2011 Calculus AB Free Response #5a
2011 Calculus AB Free Response #5aUsing a tangent line to extrapolate a function from a known initial conditionMore free lessons at: http://www.khanacademy.org/video?v=n9UvuzI2fq0From:Khan AcademyViews:20939 37ratingsTime:07:00More…
- 10 Sep 11, 12:04am -
2011 Calculus AB Free Response #4d
2011 Calculus AB Free Response #4dMean Value Theorem and differentiabilityMore free lessons at: http://www.khanacademy.org/video?v=yX3JpmEgNHoFrom:Khan AcademyViews:16204 26ratingsTime:05:46More inEducation
- 9 Sep 11, 4:05pm -
2011 Calculus AB Free Response #4c
2011 Calculus AB Free Response #4cFinding the points of inflection for a strangely defined functionMore free lessons at: http://www.khanacademy.org/video?v=M_ADc9jkBigFrom:Khan AcademyViews:16891 27ratingsTime:04:24More inEducation
- 8 Sep 11, 11:29pm -
2011 Calculus AB Free Response #4b
2011 Calculus AB Free Response #4bAbsolute maximum over an interval. Critical points and differentiability.More free lessons at: http://www.khanacademy.org/video?v=OvMBNVi5bLYFrom:Khan AcademyViews:23892 31ratingsTime:13:16More in…
- 8 Sep 11, 10:11pm -
2011 Calculus AB Free Response #4a
2011 Calculus AB Free Response #4aTaking derivatives and integrals of strangely defined functionsMore free lessons at: http://www.khanacademy.org/video?v=tnoPnyvVjycFrom:Khan AcademyViews:27274 32ratingsTime:04:48More inEducation
- 8 Sep 11, 9:40pm -
2011 Calculus AB Free Response #1 parts b c d
2011 Calculus AB Free Response #1 parts b c dIntegration to find average value of a function. Using a graphing calculator to calculate definite integrals.From:Khan AcademyViews:33326 50ratingsTime:14:37More inEducation
- 8 Sep 11, 7:19pm -
2011 Calculus AB Free Response #3 (c)
2011 Calculus AB Free Response #3 (c)Disk method to find the volume of a solid generated by rotation of a functionMore free lessons at: http://www.khanacademy.org/video?v=v-H_7o7EMoUFrom:Khan AcademyViews:21995 35ratingsTime:06:39Mo…
- 7 Sep 11, 8:36pm -
2011 Calculus AB Free Response #3 (a & b)
2011 Calculus AB Free Response #3 (a & b)Equation of a tangent line and area between curvesMore free lessons at: http://www.khanacademy.org/video?v=9UhChwcVWq8From:Khan AcademyViews:28361 33ratingsTime:08:14More inEducation
- 7 Sep 11, 8:35pm -
2011 Calculus AB Free Response #2 (c & d)
2011 Calculus AB Free Response #2 (c & d)Second fundamental theorem of calculus applicationMore free lessons at: http://www.khanacademy.org/video?v=2axaRJQkfVkFrom:Khan AcademyViews:28547 36ratingsTime:07:27More inEducation
- 7 Sep 11, 6:58pm -
2011 Calculus AB Free Response #2 (a & b)
2011 Calculus AB Free Response #2 (a & b)Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integralsMore free lessons at: http://www.khanacademy.org/video?v=Z3X6QqezqUgFrom:Khan AcademyViews:41851…
- 7 Sep 11, 5:54pm -
Introduction to limits | Limits | Differential Calculus | Khan Academy
Introduction to limits | Limits | Differential Calculus | Khan AcademyIntroduction to limitsWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/limit-by-analyzing-numerical-data?utm_sourc…
- 19 May 11, 3:14pm -
Visualizing Taylor Series for e^x
Visualizing Taylor Series for e^xVisualizing Taylor Series for e^xMore free lessons at: http://www.khanacademy.org/video?v=AFMXixBVP-0From:Khan AcademyViews:155182 171ratingsTime:06:38More inEducation
- 18 May 11, 9:34pm -
Generalized Taylor Series Approximation
Generalized Taylor Series ApproximationApproximating a function around a non-zero x valueMore free lessons at: http://www.khanacademy.org/video?v=1LxhXqD3_CEFrom:Khan AcademyViews:429363 398ratingsTime:07:27More inEducation
- 18 May 11, 8:36pm -
Visualizing Taylor Series Approximations
Visualizing Taylor Series ApproximationsUsing Wolfram Alpha to approximate sin(x)More free lessons at: http://www.khanacademy.org/video?v=8dMLK2WueawFrom:Khan AcademyViews:227090 397ratingsTime:06:01More inEducation
- 18 May 11, 8:11pm -
Euler's Formula and Euler's Identity
Euler's Formula and Euler's IdentityRationale for Euler's Formula and Euler's IdentityMore free lessons at: http://www.khanacademy.org/video?v=mgNtPOgFje0From:Khan AcademyViews:447861 2912ratingsTime:11:27More inEducation
- 18 May 11, 12:08am -

Khan Academy - Calculus 49-97

Taylor Series at 0 (Maclaurin) for e to the x
Taylor Series at 0 (Maclaurin) for e to the xTaylor Series at 0 (Maclaurin) for e to the xMore free lessons at: http://www.khanacademy.org/video?v=JYQqml4-4q4From:Khan AcademyViews:256837 437ratingsTime:06:10More inEducation
- 17 May 11, 11:44pm -
Sine Taylor Series at 0 (Maclaurin)
Sine Taylor Series at 0 (Maclaurin)Sine Taylor Series at 0 (Maclaurin)More free lessons at: http://www.khanacademy.org/video?v=LlKvubIqHc8From:Khan AcademyViews:213930 309ratingsTime:06:33More inEducation
- 17 May 11, 11:44pm -
Cosine Taylor Series at 0 (Maclaurin)
Cosine Taylor Series at 0 (Maclaurin)Approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0)More free lessons at: http://www.khanacademy.org/video?v=WWe7pZjc4s8From:Khan AcademyViews:305390 436ratings…
- 17 May 11, 11:24pm -
Maclauren and Taylor Series Intuition
Maclauren and Taylor Series IntuitionApproximating a function at 0 using a polynomialMore free lessons at: http://www.khanacademy.org/video?v=epgwuzzDHsQFrom:Khan AcademyViews:869527 1772ratingsTime:12:59More inEducation
- 17 May 11, 11:22pm -
Periodic Definite Integral
Periodic Definite Integral2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!More free lessons at: http://www.khanacademy.org/…
- 29 Dec 10, 12:30am -
L'Hôpital's rule example 3 | Derivative applications | Differential Calculus | Khan Academy
L'Hôpital's rule example 3 | Derivative applications | Differential Calculus | Khan AcademyL'Hôpital's Rule Example 3Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivativ…
- 7 Jun 10, 6:42pm -
L'Hôpital's rule example 2 | Derivative applications | Differential Calculus | Khan Academy
L'Hôpital's rule example 2 | Derivative applications | Differential Calculus | Khan AcademyL'Hôpital's Rule Example 2Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivativ…
- 7 Jun 10, 6:14pm -
L'Hôpital's rule example 1 | Derivative applications | Differential Calculus | Khan Academy
L'Hôpital's rule example 1 | Derivative applications | Differential Calculus | Khan AcademyL'Hôpital's Rule Example 1Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivativ…
- 7 Jun 10, 5:40pm -
Introduction to l'Hôpital's rule | Derivative applications | Differential Calculus | Khan Academy
Introduction to l'Hôpital's rule | Derivative applications | Differential Calculus | Khan AcademyIntroduction to L'Hôpital's RulePractice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/lhopitals_rule?utm_sou…
- 7 Jun 10, 5:29pm -
Example of calculating a surface integral part 3 | Multivariable Calculus | Khan Academy
Example of calculating a surface integral part 3 | Multivariable Calculus | Khan AcademyExample of calculating a surface integral part 3Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_int…
- 25 May 10, 10:27pm -
Example of calculating a surface integral part 2 | Multivariable Calculus | Khan Academy
Example of calculating a surface integral part 2 | Multivariable Calculus | Khan AcademyExample of calculating a surface integral part 2Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_int…
- 25 May 10, 10:23pm -
Example of calculating a surface integral part 1 | Multivariable Calculus | Khan Academy
Example of calculating a surface integral part 1 | Multivariable Calculus | Khan AcademyExample of calculating a surface integral part 1Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_int…
- 25 May 10, 10:20pm -
Introduction to the surface integral | Multivariable Calculus | Khan Academy
Introduction to the surface integral | Multivariable Calculus | Khan AcademyIntroduction to the surface integralWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/example-of-calc…
- 6 May 10, 6:55pm -
Partial derivatives of vector-valued functions | Multivariable Calculus | Khan Academy
Partial derivatives of vector-valued functions | Multivariable Calculus | Khan AcademyPartial Derivatives of Vector-Valued FunctionsWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integra…
- 6 May 10, 5:37pm -
Introduction to parametrizing a surface with two parameters | Multivariable Calculus | Khan Academy
Introduction to parametrizing a surface with two parameters | Multivariable Calculus | Khan AcademyIntroduction to Parametrizing a Surface with Two ParametersWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface…
- 5 May 10, 9:31pm -
Determining a position vector-valued function for a parametrization of two parameters | Khan Academy
Determining a position vector-valued function for a parametrization of two parameters | Khan AcademyDetermining a Position Vector-Valued Function for a Parametrization of Two ParametersWatch the next lesson: https://www.khanacademy.org/math/mul…
- 5 May 10, 8:46pm -
Green's theorem example 2 | Multivariable Calculus | Khan Academy
Green's theorem example 2 | Multivariable Calculus | Khan AcademyAnother example applying Green's TheoremWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/constructing-a-…
- 7 Mar 10, 9:58pm -
Green's theorem example 1 | Multivariable Calculus | Khan Academy
Green's theorem example 1 | Multivariable Calculus | Khan AcademyUsing Green's Theorem to solve a line integral of a vector fieldWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/…
- 7 Mar 10, 9:42pm -
Green's theorem proof (part 2) | Multivariable Calculus | Khan Academy
Green's theorem proof (part 2) | Multivariable Calculus | Khan AcademyPart 2 of the proof of Green's TheoremWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-exa…
- 7 Mar 10, 9:12pm -
Green's theorem proof part 1 | Multivariable Calculus | Khan Academy
Green's theorem proof part 1 | Multivariable Calculus | Khan AcademyPart 1 of the proof of Green's TheoremWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof…
- 7 Mar 10, 4:22pm -
Second example of line integral of conservative vector field | Multivariable Calculus | Khan Academy
Second example of line integral of conservative vector field | Multivariable Calculus | Khan AcademyUsing path independence of a conservative vector field to solve a line integralWatch the next lesson: https://www.khanacademy.org/math/multivari…
- 6 Mar 10, 9:24pm -
Example of closed line integral of conservative field | Multivariable Calculus | Khan Academy
Example of closed line integral of conservative field | Multivariable Calculus | Khan AcademyExample of taking a closed line integral of a conservative fieldWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_int…
- 6 Mar 10, 9:00pm -
Closed curve line integrals of conservative vector fields | Multivariable Calculus | Khan Academy
Closed curve line integrals of conservative vector fields | Multivariable Calculus | Khan AcademyShowing that the line integral along closed curves of conservative vector fields is zeroWatch the next lesson: https://www.khanacademy.org/math/mul…
- 6 Mar 10, 8:21pm -
Path independence for line integrals | Multivariable Calculus | Khan Academy
Path independence for line integrals | Multivariable Calculus | Khan AcademyShowing that if a vector field is the gradient of a scalar field, then its line integral is path independentWatch the next lesson: https://www.khanacademy.org/math/mult…
- 5 Mar 10, 11:25pm -
Vector field line integrals dependent on path direction | Multivariable Calculus | Khan Academy
Vector field line integrals dependent on path direction | Multivariable Calculus | Khan AcademyShowing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependentWatch the next lesson: https://ww…
- 5 Mar 10, 9:29pm -
Scalar field line integral independent of path direction | Multivariable Calculus | Khan Academy
Scalar field line integral independent of path direction | Multivariable Calculus | Khan AcademyShowing that the line integral of a scalar field is independent of path directionWatch the next lesson: https://www.khanacademy.org/math/multivariab…
- 5 Mar 10, 8:33pm -
Parametrization of a reverse path | Khan Academy
Parametrization of a reverse path | Khan AcademyUnderstanding how to parametrize a reverse path for the same curve.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/scal…
- 5 Mar 10, 6:27pm -
Using a line integral to find the work done by a vector field example | Khan Academy
Using a line integral to find the work done by a vector field example | Khan AcademyUsing a line integral to find the work done by a vector field exampleWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integra…
- 27 Feb 10, 12:34am -
Line integrals and vector fields | Multivariable Calculus | Khan Academy
Line integrals and vector fields | Multivariable Calculus | Khan AcademyUsing line integrals to find the work done on a particle moving through a vector fieldWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_in…
- 26 Feb 10, 11:32pm -
Vector valued function derivative example | Multivariable Calculus | Khan Academy
Vector valued function derivative example | Multivariable Calculus | Khan AcademyConcrete example of the derivative of a vector valued function to better understand what it meansWatch the next lesson: https://www.khanacademy.org/math/multivaria…
- 26 Feb 10, 8:42pm -
Differential of a vector valued function | Multivariable Calculus | Khan Academy
Differential of a vector valued function | Multivariable Calculus | Khan AcademyUnderstanding the differential of a vector valued functionWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/positi…
- 26 Feb 10, 8:40pm -
Derivative of a position vector valued function | Multivariable Calculus | Khan Academy
Derivative of a position vector valued function | Multivariable Calculus | Khan AcademyVisualizing the derivative of a position vector valued functionWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_…
- 26 Feb 10, 7:36pm -
Position vector valued functions | Multivariable Calculus | Khan Academy
Position vector valued functions | Multivariable Calculus | Khan AcademyUsing a position vector valued function to describe a curve or pathWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/posit…
- 26 Feb 10, 7:33pm -
Line integral example 2 (part 2) | Multivariable Calculus | Khan Academy
Line integral example 2 (part 2) | Multivariable Calculus | Khan AcademyPart 2 of an example of taking a line integral over a closed pathWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/positio…
- 25 Feb 10, 10:56pm -
Line integral example 2 (part 1) | Multivariable Calculus | Khan Academy
Line integral example 2 (part 1) | Multivariable Calculus | Khan AcademyLine integral over a closed path (part 1)Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-…
- 25 Feb 10, 10:35pm -
Line integral example 1 | Line integrals and Green's theorem | Multivariable Calculus | Khan Academy
Line integral example 1 | Line integrals and Green's theorem | Multivariable Calculus | Khan AcademyConcrete example using a line integralWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_i…
- 25 Feb 10, 7:48pm -
Introduction to the line integral | Multivariable Calculus | Khan Academy
Introduction to the line integral | Multivariable Calculus | Khan AcademyIntroduction to the Line IntegralWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example…
- 25 Feb 10, 7:15pm -
Another example graphing with derivatives | Differential Calculus | Khan Academy
Another example graphing with derivatives | Differential Calculus | Khan AcademyPractice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-point…
- 23 Jan 10, 3:11am -
Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy
Graphing using derivatives | Derivative applications | Differential Calculus | Khan AcademyPractice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-infle…
- 22 Jan 10, 10:58pm -
Inflection Points and Concavity Intuition
Inflection Points and Concavity IntuitionUnderstanding concave upwards and downwards portions of graphs and the relation to the derivative. Inflection point intuitionFrom:Khan AcademyViews:309104 1092ratingsTime:13:43More inEducatio…
- 22 Jan 10, 10:50pm -
Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan Academy
Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan AcademyUnderstanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)Practice this yourself on Khan Academy…
- 2 Nov 09, 5:43pm -
Calculating slope of tangent line using derivative definition | Differential Calculus | Khan Academy
Calculating slope of tangent line using derivative definition | Differential Calculus | Khan AcademyPractice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_…
- 2 Nov 09, 5:43pm -
The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy
The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/alternate-form-of-the-derivative?u…
- 2 Nov 09, 5:43pm -
(2^ln x)/x Antiderivative Example
(2^ln x)/x Antiderivative ExampleFinding ∫(2^ln x)/x dxMore free lessons at: http://www.khanacademy.org/video?v=C5Lbjbyr1t4From:Khan AcademyViews:189029 184ratingsTime:08:40More inEducation
- 22 Oct 09, 6:05pm -
Integrals: Trig Substitution 2
Integrals: Trig Substitution 2Another example of finding an anti-derivative using trigonometric substitutionMore free lessons at: http://www.khanacademy.org/video?v=fD7MbnXbTlsFrom:Khan AcademyViews:274816 413ratingsTime:08:11More i…
- 14 Oct 09, 10:42pm -
Integrals: Trig Substitution 3 (long problem)
Integrals: Trig Substitution 3 (long problem)Example using trig substitution (and trig identities) to solve an integral.More free lessons at: http://www.khanacademy.org/video?v=sw2p2tUIFpcFrom:Khan AcademyViews:237126 369ratingsTime:…
- 14 Oct 09, 10:42pm -
Integrals: Trig Substitution 1
Integrals: Trig Substitution 1Example of using trig substitution to solve an indefinite integralMore free lessons at: http://www.khanacademy.org/video?v=n4EK92CSuBEFrom:Khan AcademyViews:612869 1030ratingsTime:07:38More inEducation
- 14 Oct 09, 10:42pm -
Extreme derivative word problem (advanced) | Differential Calculus | Khan Academy
Extreme derivative word problem (advanced) | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/proving-the-chain-rule/v/differentiability-implies-continuity?utm_so…
- 14 Oct 09, 4:53pm -

Khan Academy - Calculus 98-146

Proofs of derivatives of ln(x) and e^x | Taking derivatives | Differential Calculus | Khan Academy
Proofs of derivatives of ln(x) and e^x | Taking derivatives | Differential Calculus | Khan AcademyDoing both proofs in the same video to clarify any misconceptions that the original proof was "circular".Watch the next lesson: https://www.khanac…
- 3 Oct 09, 5:34pm -
Derivative of x^(x^x) | Taking derivatives | Differential Calculus | Khan Academy
Derivative of x^(x^x) | Taking derivatives | Differential Calculus | Khan AcademyPractice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/…
- 2 Oct 09, 8:30pm -
Epsilon-delta limit definition 2 | Limits | Differential Calculus | Khan Academy
Epsilon-delta limit definition 2 | Limits | Differential Calculus | Khan AcademyUsing the epsilon delta definition to prove a limitWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/intro_differenti…
- 10 Apr 09, 7:29pm -
Squeeze theorem (sandwich theorem) | Limits | Differential Calculus | Khan Academy
Squeeze theorem (sandwich theorem) | Limits | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/proof-lim-sin-x-x?utm_source=YT&utm_medium=Desc&utm_cam…
- 10 Apr 09, 4:42pm -
More limits | Limits | Differential Calculus | Khan Academy
More limits | Limits | Differential Calculus | Khan AcademyMore limit examplesWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/limits-and-infinity?utm_source=YT&utm_medium=Desc&utm_cam…
- 10 Apr 09, 4:42pm -
Proof: lim (sin x)/x | Limits | Differential Calculus | Khan Academy
Proof: lim (sin x)/x | Limits | Differential Calculus | Khan AcademyUsing the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/ep…
- 10 Apr 09, 4:42pm -
Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy
Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan AcademyIntroduction to the Epsilon Delta Definition of a Limit.Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/epsilon_delta/v/e…
- 10 Apr 09, 4:41pm -
Another u-subsitution example
Another u-subsitution exampleFinding the antiderivative using u-substitution.From:Khan AcademyViews:236222 411ratingsTime:05:57More inEducation
- 8 Feb 09, 10:53pm -
Triple integrals 3 | Double and triple integrals | Multivariable Calculus | Khan Academy
Triple integrals 3 | Double and triple integrals | Multivariable Calculus | Khan AcademyFiguring out the boundaries of integration.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/partial_…
- 25 Aug 08, 3:08am -
Triple integrals 2 | Double and triple integrals | Multivariable Calculus | Khan Academy
Triple integrals 2 | Double and triple integrals | Multivariable Calculus | Khan AcademyUsing a triple integral to find the mass of a volume of variable density.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/doub…
- 25 Aug 08, 3:08am -
Triple integrals 1 | Double and triple integrals | Multivariable Calculus | Khan Academy
Triple integrals 1 | Double and triple integrals | Multivariable Calculus | Khan AcademyIntroduction to the triple integralWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/triple-integrals/v…
- 25 Aug 08, 3:07am -
Double integrals 6 | Double and triple integrals | Multivariable Calculus | Khan Academy
Double integrals 6 | Double and triple integrals | Multivariable Calculus | Khan AcademyLet's evaluate the double integrals with y=x^2 as one of the boundaries.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/doubl…
- 15 Aug 08, 12:41am -
Double integrals 5 | Double and triple integrals | Multivariable Calculus | Khan Academy
Double integrals 5 | Double and triple integrals | Multivariable Calculus | Khan AcademyFinding the volume when we have variable boundaries.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/d…
- 15 Aug 08, 12:41am -
Double integrals 4 | Double and triple integrals | Multivariable Calculus | Khan Academy
Double integrals 4 | Double and triple integrals | Multivariable Calculus | Khan AcademyAnother way to conceptualize the double integral.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/doub…
- 15 Aug 08, 12:40am -
Double integrals 3 | Double and triple integrals | Multivariable Calculus | Khan Academy
Double integrals 3 | Double and triple integrals | Multivariable Calculus | Khan AcademyLet's integrate dy first!Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-in…
- 14 Aug 08, 4:06am -
Double integrals 2 | Double and triple integrals | Multivariable Calculus | Khan Academy
Double integrals 2 | Double and triple integrals | Multivariable Calculus | Khan AcademyFiguring out the volume under z=xy^2Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/…
- 14 Aug 08, 4:06am -
Double integral 1 | Double and triple integrals | Multivariable Calculus | Khan Academy
Double integral 1 | Double and triple integrals | Multivariable Calculus | Khan AcademyIntroduction to the double integralWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/…
- 14 Aug 08, 1:42am -
Curl 3 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy
Curl 3 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan AcademyMore on curlWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/introduction-to-the…
- 12 Aug 08, 10:15pm -
Curl 2 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy
Curl 2 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan AcademyThe mechanics of calculating curl.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/cu…
- 12 Aug 08, 10:15pm -
Curl 1 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy
Curl 1 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan AcademyIntroduction to the curl of a vector fieldWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/c…
- 12 Aug 08, 10:15pm -
Divergence 2 | Multivariable Calculus | Khan Academy
Divergence 2 | Multivariable Calculus | Khan AcademyThe intuition of what the divergence of a vector field is.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-3?utm…
- 12 Aug 08, 3:06am -
Divergence 1 | Multivariable Calculus | Khan Academy
Divergence 1 | Multivariable Calculus | Khan AcademyIntroduction to the divergence of a vector field.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-2?utm_source=Y…
- 12 Aug 08, 3:06am -
Divergence 3 | Multivariable Calculus | Khan Academy
Divergence 3 | Multivariable Calculus | Khan AcademyAnalyzing a vector field using its divergence.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/curl-1?utm_source=YT&utm_medium=De…
- 12 Aug 08, 3:06am -
Gradient of a scalar field | Multivariable Calculus | Khan Academy
Gradient of a scalar field | Multivariable Calculus | Khan AcademyIntuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivat…
- 10 Aug 08, 8:08pm -
Gradient 1 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy
Gradient 1 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan AcademyIntroduction to the gradientWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/gradient/v/…
- 9 Aug 08, 11:34pm -
Partial derivatives 2 | Multivariable Calculus | Khan Academy
Partial derivatives 2 | Multivariable Calculus | Khan AcademyMore on partial derivativesWatch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/gradient/v/gradient-1?utm_source=YT&utm_medium=Desc…
- 9 Aug 08, 10:10pm -
Partial derivatives | Multivariable Calculus | Khan Academy
Partial derivatives | Multivariable Calculus | Khan AcademyIntroduction to partial derivatives.Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/partial_derivatives/v/partial-derivatives-2?…
- 9 Aug 08, 9:03pm -
More chain rule and implicit differentiation intuition
More chain rule and implicit differentiation intuitionMore intuition behind the chain rule and how it applies to implicit differentiation.From:Khan AcademyViews:194975 555ratingsTime:10:11More inEducation
- 27 Jul 08, 9:10pm -
Definite integral with substitution
Definite integral with substitutionSolving a definite integral with substitution (or the reverse chain rule)From:Khan AcademyViews:215729 439ratingsTime:08:54More inEducation
- 22 Jul 08, 9:17pm -
Calculus BC 2008 2d
Calculus BC 2008 2dPart 2d of the 2008 Calculus BC exam free-response sectionMore free lessons at: http://www.khanacademy.org/video?v=o_vMb655dFkFrom:Khan AcademyViews:20424 37ratingsTime:04:28More inEducation
- 12 Jul 08, 9:10pm -
Calculus BC 2008 2 b &c
Calculus BC 2008 2 b &cParts 2b and 2c of the 2008 BC exam (free response)More free lessons at: http://www.khanacademy.org/video?v=S4oOSgTj9C8From:Khan AcademyViews:18812 37ratingsTime:10:43More inEducation
- 12 Jul 08, 9:10pm -
Calculus BC 2008 2 a
Calculus BC 2008 2 a2a of 2008 Calculus BC exam (free response)More free lessons at: http://www.khanacademy.org/video?v=xvvI_QRYxBYFrom:Khan AcademyViews:25201 37ratingsTime:08:46More inEducation
- 12 Jul 08, 9:07pm -
AP Calculus BC Exams: 2008 1 d
AP Calculus BC Exams: 2008 1 dPart 1d of the 2008 AP Calculus BC exam (free response)More free lessons at: http://www.khanacademy.org/video?v=sPTuCE5zd3sFrom:Khan AcademyViews:22104 39ratingsTime:05:22More inEducation
- 11 Jul 08, 11:13pm -
AP Calculus BC Exams: 2008 1 c&d
AP Calculus BC Exams: 2008 1 c&dparts c&d of problem 1 in the 2008 AP Calculus BC free responseMore free lessons at: http://www.khanacademy.org/video?v=_l0Mfsu__gUFrom:Khan AcademyViews:25125 52ratingsTime:09:20More inEducation
- 11 Jul 08, 11:13pm -
AP Calculus BC Exams: 2008 1 b&c
AP Calculus BC Exams: 2008 1 b&cParts b and c of problem 1 (free response)More free lessons at: http://www.khanacademy.org/video?v=xPb6HLM3xEQFrom:Khan AcademyViews:32813 53ratingsTime:09:34More inEducation
- 11 Jul 08, 11:13pm -
AP Calculus BC Exams: 2008 1 a
AP Calculus BC Exams: 2008 1 aPart 1a of the 2008 BC free responseMore free lessons at: http://www.khanacademy.org/video?v=upO6Mh862PIFrom:Khan AcademyViews:73444 82ratingsTime:08:54More inEducation
- 10 Jul 08, 11:11pm -
Equation of a tangent line | Taking derivatives | Differential Calculus | Khan Academy
Equation of a tangent line | Taking derivatives | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/implicit_differentiation/v/implicit-differentiation-1?utm_sourc…
- 3 Jul 08, 12:10am -
Mean value theorem | Derivative applications | Differential Calculus | Khan Academy
Mean value theorem | Derivative applications | Differential Calculus | Khan AcademyIntuition behind the Mean Value TheoremWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/intr…
- 2 Jul 08, 11:19pm -
More implicit differentiation
More implicit differentiation2 more implicit differentiation examplesFrom:Khan AcademyViews:194005 515ratingsTime:11:30More inEducation
- 27 Jun 08, 1:35am -
Optimization Example 4
Optimization Example 4Minimizing the cost of material for an open rectangular box.From:Khan AcademyViews:151809 308ratingsTime:09:49More inEducation
- 26 Jun 08, 4:51am -
Exponential Growth
Exponential GrowthExponential growth involving bacteria (some calculus in part c).From:Khan AcademyViews:230676 445ratingsTime:16:00More inEducation
- 26 Jun 08, 1:34am -
Taylor Polynomials
Taylor PolynomialsApproximating a function with a Taylor PolynomialMore free lessons at: http://www.khanacademy.org/video?v=8SsC5st4LnIFrom:Khan AcademyViews:375418 1424ratingsTime:18:06More inEducation
- 19 Jun 08, 12:23am -
Simple Differential Equations
Simple Differential Equations3 basic differential equations that can be solved by taking the antiderivatives of both sides.From:Khan AcademyViews:365535 633ratingsTime:14:26More inEducation
- 17 Jun 08, 2:04am -
Optimization with Calculus 3
Optimization with Calculus 3A wire of length 100 centimeters is cut into two pieces; one is bent to form a square, and the other is bent to form an equilateral triangle. Where should the cut be made if (a) the sum of the two areas is to be a mini…
- 16 Jun 08, 12:45am -
Optimization with Calculus 2
Optimization with Calculus 2Find the volume of the largest open box that can be made from a piece of cardboard 24 inches square by cutting equal squares from the corners and turning up the sides.From:Khan AcademyViews:250546 718ratings…
- 16 Jun 08, 12:43am -
Optimization with Calculus 1
Optimization with Calculus 1Find two numbers whose products is -16 and the sum of whose squares is a minimum.Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/optimization?utm_source=YTdescription&utm_medium=YTdesc…
- 16 Jun 08, 12:41am -
Graphing with Calculus
Graphing with CalculusMore graphing with calculus.From:Khan AcademyViews:90422 211ratingsTime:09:44More inEducation
- 13 Jun 08, 12:53am -
Monotonicity Theorem
Monotonicity TheoremUsing the monotonicity theorem to determine when a function is increasing or decreasing.From:Khan AcademyViews:136538 373ratingsTime:09:14More inEducation
- 12 Jun 08, 4:29am -

Khan Academy - Calculus 147-195

Limit examples w/ brain malfunction on first prob (part 4) | Differential Calculus | Khan Academy
Limit examples w/ brain malfunction on first prob (part 4) | Differential Calculus | Khan Academy3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))Watch the next lesson: https://www.khanacademy.org/math/dif…
- 10 Apr 09, 4:42pm -
Definite Integrals (part 5)
Definite Integrals (part 5)More examples of using definite integrals to calculate the area between curvesFrom:Khan AcademyViews:170592 376ratingsTime:09:57More inEducation
- 22 Jul 08, 8:42pm -
Definite Integrals (part 4)
Definite Integrals (part 4)Examples of using definite integrals to find the area under a curveFrom:Khan AcademyViews:207924 427ratingsTime:09:52More inEducation
- 22 Jul 08, 8:42pm -
Maxima Minima Slope Intuition
Maxima Minima Slope IntuitionIntuition on what happens to the slope/derivative and second derivatives at local maxima and minima.From:Khan AcademyViews:187685 479ratingsTime:09:37More inEducation
- 12 Jun 08, 1:23am -
Implicit Differentiation (part 2)
Implicit Differentiation (part 2)A hairier implicit differentiation problem.From:Khan AcademyViews:304828 1004ratingsTime:10:45More inEducation
- 10 Jun 08, 11:16pm -
Ladder rate-of-change problem
Ladder rate-of-change problemThe classic falling ladder problemFrom:Khan AcademyViews:146637 459ratingsTime:10:59More inEducation
- 7 Jun 08, 4:56pm -
Implicit Differentiation
Implicit DifferentiationTaking the derivative when y is defined implicitly.From:Khan AcademyViews:882147 3114ratingsTime:15:57More inEducation
- 7 Jun 08, 4:19pm -
Proof: d/dx(x^n) | Taking derivatives | Differential Calculus | Khan Academy
Proof: d/dx(x^n) | Taking derivatives | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/proof-d-dx-sqrt-x?utm_source=YT&utm_medium=Desc&utm…
- 13 May 08, 1:55am -
Proof: d/dx(sqrt(x)) | Taking derivatives | Differential Calculus | Khan Academy
Proof: d/dx(sqrt(x)) | Taking derivatives | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/calculus-derivatives-3?utm_source=YT&utm_medium…
- 5 May 08, 12:58am -
Polynomial approximation of functions (part 7)
Polynomial approximation of functions (part 7)The most amazing conclusion in mathematics!More free lessons at: http://www.khanacademy.org/video?v=bC5Lahh4AusFrom:Khan AcademyViews:66998 270ratingsTime:10:18More inEducation
- 30 Apr 08, 3:31am -
Polynomial approximation of functions (part 6)
Polynomial approximation of functions (part 6)A pattern emerges!More free lessons at: http://www.khanacademy.org/video?v=-gRNRBCG3OwFrom:Khan AcademyViews:52778 157ratingsTime:10:00More inEducation
- 30 Apr 08, 3:30am -
Polynomial approximations of functions (part 5)
Polynomial approximations of functions (part 5)MacLaurin representation of sin xMore free lessons at: http://www.khanacademy.org/video?v=9AoDucUmO20From:Khan AcademyViews:49957 107ratingsTime:09:25More inEducation
- 30 Apr 08, 3:29am -
Polynomial approximation of functions (part 4)
Polynomial approximation of functions (part 4)Approximating cos x with a Maclaurin series.More free lessons at: http://www.khanacademy.org/video?v=gcJeg4SdIpUFrom:Khan AcademyViews:63122 136ratingsTime:10:00More inEducation
- 29 Apr 08, 3:49am -
Approximating functions with polynomials (part 3)
Approximating functions with polynomials (part 3)A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.More free lessons at: http://www.khanacademy.org/video?v=XZDGrbyz0v0From:Khan AcademyViews:71510 168…
- 29 Apr 08, 3:11am -
Polynomial approximation of functions (part 2)
Polynomial approximation of functions (part 2)Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)More free lessons at: http://www.khanacademy.org/video?v=3JG3qn7-SacFrom:Khan AcademyViews:859…
- 29 Apr 08, 3:11am -
Polynomial approximation of functions (part 1)
Polynomial approximation of functions (part 1)Using a polynomial to approximate a function at f(0).More free lessons at: http://www.khanacademy.org/video?v=sy132cgqaiUFrom:Khan AcademyViews:228383 297ratingsTime:09:45More inEducati…
- 29 Apr 08, 3:11am -
Sequences and series (part 2)
Sequences and series (part 2)Finding the sum of an infinite geometric series.From:Khan AcademyViews:414533 911ratingsTime:10:04More inEducation
- 29 Apr 08, 3:11am -
Sequences and Series (part 1)
Sequences and Series (part 1)Introduction to the arithmetic and geometric seriesPractice this yourself on Khan Academy right now: https://www.khanacademy.org/e/understanding-sequences?utm_source=YTdescription&utm_medium=YTdescription&utm_campai…
- 29 Apr 08, 3:11am -
Proof: d/dx(ln x) = 1/x | Taking derivatives | Differential Calculus | Khan Academy
Proof: d/dx(ln x) = 1/x | Taking derivatives | Differential Calculus | Khan AcademyTaking the derivative of ln xWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/der_common_functions/v/proof-d-dx-e…
- 28 Apr 08, 5:20am -
Proof: d/dx(e^x) = e^x | Taking derivatives | Differential Calculus | Khan Academy
Proof: d/dx(e^x) = e^x | Taking derivatives | Differential Calculus | Khan AcademyProof that the derivative of e^x is e^x.Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/der_common_functions/v/pr…
- 28 Apr 08, 5:20am -
Solid of Revolution (part 8)
Solid of Revolution (part 8)The last part of the problem in part 7More free lessons at: http://www.khanacademy.org/video?v=4Flj9plmKGQFrom:Khan AcademyViews:86801 140ratingsTime:04:15More inEducation
- 28 Apr 08, 12:48am -
Solid of Revolution (part 7)
Solid of Revolution (part 7)Taking the revolution around something other than one of the axes.More free lessons at: http://www.khanacademy.org/video?v=IZ8W-h764CcFrom:Khan AcademyViews:145310 229ratingsTime:10:06More inEducation
- 28 Apr 08, 12:48am -
Solid of Revolution (part 6)
Solid of Revolution (part 6)Using the disk method around the y-axis.More free lessons at: http://www.khanacademy.org/video?v=F2psxMnGdUwFrom:Khan AcademyViews:157958 260ratingsTime:09:19More inEducation
- 27 Apr 08, 8:49pm -
Solid of Revolution (part 5)
Solid of Revolution (part 5)Use the "shell method" to rotate about the y-axisMore free lessons at: http://www.khanacademy.org/video?v=NIdqkwocNuEFrom:Khan AcademyViews:227482 408ratingsTime:09:30More inEducation
- 27 Apr 08, 8:49pm -
Solid of Revolution (part 4)
Solid of Revolution (part 4)More volumes around the x-axis.More free lessons at: http://www.khanacademy.org/video?v=OtmjNuiTHp0From:Khan AcademyViews:163491 416ratingsTime:08:22More inEducation
- 27 Apr 08, 8:49pm -
Solid of Revolution (part 3)
Solid of Revolution (part 3)Figuring out the equation for the volume of a sphere.More free lessons at: http://www.khanacademy.org/video?v=tqfU9mC2yFUFrom:Khan AcademyViews:207883 504ratingsTime:08:59More inEducation
- 26 Apr 08, 6:31pm -
Solid of Revolution (part 2)
Solid of Revolution (part 2)The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axisMore free lessons at: http://www.khanacademy.org/video?v=iUzfsUOl3-AFrom:Khan AcademyViews:244149 571ratingsTime:07:31More inEducation
- 26 Apr 08, 6:31pm -
Solid of Revolution (part 1)
Solid of Revolution (part 1)Figuring out the volume of a function rotated about the x-axis.More free lessons at: http://www.khanacademy.org/video?v=R_aqSL-q6_8From:Khan AcademyViews:432086 1279ratingsTime:10:05More inEducation
- 26 Apr 08, 6:31pm -
Introduction to rate-of-change problems
Introduction to rate-of-change problemsUsing derivatives to solve rate-of-change problemsFrom:Khan AcademyViews:320252 716ratingsTime:09:44More inEducation
- 26 Oct 07, 10:09pm -
Rates-of-change (part 2)
Rates-of-change (part 2)Another (simpler) example of using the chain rule to determine rates-of-changeFrom:Khan AcademyViews:146369 295ratingsTime:05:39More inEducation
- 26 Oct 07, 10:09pm -
Indefinite Integration (part 7)
Indefinite Integration (part 7)Another example using integration by parts.From:Khan AcademyViews:215459 567ratingsTime:09:40More inEducation
- 21 Oct 07, 8:44pm -
Integration by Parts (part 6 of Indefinite Integration)
Integration by Parts (part 6 of Indefinite Integration)Example using Integration by PartsFrom:Khan AcademyViews:459089 1120ratingsTime:09:35More inEducation
- 21 Oct 07, 8:44pm -
Indefinite Integration (part V)
Indefinite Integration (part V)Introduction to Integration by Parts (kind of the reverse-product rule)From:Khan AcademyViews:275502 671ratingsTime:09:12More inEducation
- 21 Oct 07, 8:44pm -
Definite Integrals (area under a curve) (part III)
Definite Integrals (area under a curve) (part III)More on why the antiderivative and the area under a curve are essentially the same thing.From:Khan AcademyViews:298142 665ratingsTime:09:46More inEducation
- 19 Oct 07, 10:30pm -
Definite integrals (part II)
Definite integrals (part II)More on why the antiderivative and the area under a curve are essentially the same thing.From:Khan AcademyViews:311029 582ratingsTime:09:16More inEducation
- 19 Oct 07, 10:30pm -
Introduction to definite integrals
Introduction to definite integralsUsing the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve.From:Khan AcademyViews:529668 1008ratingsTime:09:19M…
- 19 Oct 07, 10:30pm -
Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy
Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan AcademyMore intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2Watch the next lesson: https://www.khanacademy.org/math…
- 19 Oct 07, 12:56am -
Power rule introduction (old) | Taking derivatives | Differential Calculus | Khan Academy
Power rule introduction (old) | Taking derivatives | Differential Calculus | Khan AcademyDetermining the derivatives of simple polynomials.Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_ru…
- 19 Oct 07, 12:56am -
Chain Rule Examples
Chain Rule ExamplesExamples using the Chain RulePractice this yourself on Khan Academy right now: https://www.khanacademy.org/e/chain_rule_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescriptionFrom:Khan AcademyViews:…
- 19 Oct 07, 12:55am -
Product rule | Taking derivatives | Differential Calculus | Khan Academy
Product rule | Taking derivatives | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/quotient-rule?utm_source=YT&utm_medium=Desc&utm_campaign=Diffe…
- 19 Oct 07, 12:55am -
The Indefinite Integral or Anti-derivative
The Indefinite Integral or Anti-derivativeAn introduction to indefinite integration of polynomials.From:Khan AcademyViews:771431 2045ratingsTime:09:29More inEducation
- 19 Oct 07, 12:55am -
Quotient rule and common derivatives | Taking derivatives | Differential Calculus | Khan Academy
Quotient rule and common derivatives | Taking derivatives | Differential Calculus | Khan AcademyWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/equation-of-a-tangent-line?utm_source=…
- 19 Oct 07, 12:55am -
Derivatives (part 9)
Derivatives (part 9)More examples of taking derivativesFrom:Khan AcademyViews:271734 621ratingsTime:09:57More inEducation
- 19 Oct 07, 12:55am -
Even More Chain Rule
Even More Chain RuleEven more examples using the chain rule.From:Khan AcademyViews:414918 1225ratingsTime:09:50More inEducation
- 19 Oct 07, 12:55am -
Indefinite Integration (part III)
Indefinite Integration (part III)Integration by doing the chain rule in reverse.From:Khan AcademyViews:414995 933ratingsTime:09:52More inEducation
- 19 Oct 07, 12:55am -
The Chain Rule
The Chain RulePart 4 of derivatives. Introduction to the chain rule.Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/chain_rule_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescriptionFrom:…
- 19 Oct 07, 12:55am -
Indefinite integrals (part II)
Indefinite integrals (part II)Examples of taking the indefinite integral (or anti-derivative) of polynomials.Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/intro-to-integration?utm_source=YTdescription&utm_mediu…
- 19 Oct 07, 12:55am -
Indefinite Integration (part IV)
Indefinite Integration (part IV)Integration by substitution (or the reverse-chain-rule)From:Khan AcademyViews:332447 738ratingsTime:09:50More inEducation
- 19 Oct 07, 12:55am -

Khan Academy - Calculus 196-200

Limit examples (part 1) | Limits | Differential Calculus | Khan Academy
Limit examples (part 1) | Limits | Differential Calculus | Khan AcademySome limit exercisesPractice this yourself on Khan Academy right now: https://www.khanacademy.org/e/limits-basics-challenge?utm_source=YTdescription&utm_medium=YTdescription…
- 10 Apr 09, 4:42pm -
Limit examples (part 3) | Limits | Differential Calculus | Khan Academy
Limit examples (part 3) | Limits | Differential Calculus | Khan AcademyMore limit examplesWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-w-brain-malfunction-on-fir…
- 10 Apr 09, 4:42pm -
Limit examples (part 2) | Limits | Differential Calculus | Khan Academy
Limit examples (part 2) | Limits | Differential Calculus | Khan AcademyMore limit examplesWatch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part3?utm_source=YT&utm_me…
- 10 Apr 09, 4:42pm -
Introduction to limits 2 | Limits | Precalculus | Khan Academy
Introduction to limits 2 | Limits | Precalculus | Khan AcademyIntroduction to the intuition behind limitsWatch the next lesson: https://www.khanacademy.org/math/precalculus/limit_topic_precalc/limits_precalc/v/2-sided-limit-from-graph?utm_sourc…
- 10 Apr 09, 4:42pm -