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Differentiation: composite, implicit, and inverse functions | AP Calculus AB | Khan Academy

4.0 (1)
35 learners

What you'll learn

This course includes

  • 3.5 hours of video
  • Certificate of completion
  • Access on mobile and TV

Course content

1 modules • 38 lessons • 3.5 hours of video

Differentiation: composite, implicit, and inverse functions | AP Calculus AB | Khan Academy

38 lessons • 3.5 hours
  • Derivative of sin(ln(x_)) | Advanced derivatives | AP Calculus AB | Khan Academy04:52
  • Showing explicit and implicit differentiation give same result | AP Calculus AB | Khan Academy07:48
  • Derivative of log_x (for any positive base a­1) | AP Calculus AB | Khan Academy04:47
  • Derivatives of inverse functions: from table | AP Calculus AB | Khan Academy05:11
  • Worked example: Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy04:55
  • Worked example: Derivative of ln(Ãx) using the chain rule | AP Calculus AB | Khan Academy06:44
  • Derivative of inverse tangent | Taking derivatives | Differential Calculus | Khan Academy06:02
  • Worked example: Evaluating derivative with implicit differentiation | AP Calculus AB | Khan Academy05:25
  • Differentiating using multiple rules: strategy | AP Calculus AB | Khan Academy05:47
  • Applying the chain rule and product rule | Advanced derivatives | AP Calculus AB | Khan Academy05:54
  • Derivatives of inverse functions: from equation | AP Calculus AB | Khan Academy05:03
  • Derivative of e_____cos(e_) | Advanced derivatives | AP Calculus AB | Khan Academy05:52
  • Second derivatives | Advanced derivatives | AP Calculus AB | Khan Academy02:26
  • Logarithmic functions differentiation | Advanced derivatives | AP Calculus AB | Khan Academy04:09
  • Derivatives of inverse functions | Advanced derivatives | AP Calculus AB | Khan Academy04:46
  • Applying the chain rule twice | Advanced derivatives | AP Calculus AB | Khan Academy03:10
  • Derivatives expressed as limits | Advanced derivatives | AP Calculus BC | Khan Academy04:32
  • Exponential functions differentiation | Advanced derivatives | AP Calculus AB | Khan Academy03:39
  • Exponential functions differentiation intro | Advanced derivatives | AP Calculus AB | Khan Academy05:24
  • Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy08:02
  • Derivative of inverse cosine | Taking derivatives | Differential Calculus | Khan Academy03:44
  • Derivative of inverse sine | Taking derivatives | Differential Calculus | Khan Academy04:56
  • Proof: Differentiability implies continuity | Derivative rules | AP Calculus AB | Khan Academy11:39
  • Chain rule | Derivative rules | AP Calculus AB | Khan Academy05:07
  • Common chain rule misunderstandings | Derivative rules | AP Calculus AB | Khan Academy06:48
  • Identifying composite functions | Derivative rules | AP Calculus AB | Khan Academy08:12
  • Worked example: Derivative of cos_(x) using the chain rule | AP Calculus AB | Khan Academy09:16
  • Worked example: Derivative of Ã(3x_-x) using the chain rule | AP Calculus AB | Khan Academy05:31
  • Worked example: Chain rule with table | Derivative rules | AP Calculus AB | Khan Academy02:26
  • Trig functions differentiation | Derivative rules | AP Calculus AB | Khan Academy07:10
  • Radical functions differentiation | Derivative rules | AP Calculus AB | Khan Academy05:54
  • Differentiating functions: Find the error | Derivative rules | AP Calculus AB | Khan Academy10:38
  • Manipulating functions before differentiation | Derivative rules | AP Calculus AB | Khan Academy11:19
  • Second derivatives (implicit equations): find expression | AP Calculus AB | Khan Academy04:47
  • Second derivatives (implicit equations): evaluate derivative | AP Calculus AB | Khan Academy04:50
  • If function u is continuous at x, then _u_0 as _x_0 | AP Calculus AB | Khan Academy06:24
  • Chain rule proof | Derivative rules | AP Calculus AB | Khan Academy05:39
  • Quotient rule from product & chain rules | Derivative rules | AP Calculus AB | Khan Academy05:15

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