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Unit: Derivatives: chain rule and other advanced topics

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Chain rule

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Practice

Identify composite functionsGet 3 of 4 questions to level up!
Chain rule introGet 3 of 4 questions to level up!
Chain rule with tablesGet 3 of 4 questions to level up!

More chain rule practice

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Derivatives of aˣ and logₐxGet 3 of 4 questions to level up!
Chain rule capstoneGet 3 of 4 questions to level up!

Implicit differentiation

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Implicit differentiationGet 3 of 4 questions to level up!

Implicit differentiation (advanced examples)

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Differentiating inverse functions

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Derivatives of inverse functionsGet 3 of 4 questions to level up!

Derivatives of inverse trigonometric functions

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Derivatives of inverse trigonometric functionsGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 640 Mastery points

Strategy in differentiating functions

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Practice

Differentiating functions: Find the errorGet 3 of 4 questions to level up!
Manipulating functions before differentiationGet 3 of 4 questions to level up!

Differentiation using multiple rules

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Differentiating using multiple rules: strategyGet 3 of 4 questions to level up!
Differentiating using multiple rulesGet 3 of 4 questions to level up!

Second derivatives

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Second derivativesGet 3 of 4 questions to level up!
Second derivatives (implicit equations)Get 3 of 4 questions to level up!

Disguised derivatives

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Disguised derivatives
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Disguised derivativesGet 3 of 4 questions to level up!

Logarithmic differentiation

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Composite exponential function differentiationGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 640 Mastery points

Proof videos

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Unit test

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About this unit

The chain rule tells us how to find the derivative of a composite function. This is an exceptionally useful rule, as it opens up a whole world of functions (and equations!) we can now differentiate. Also learn how to use all the different derivative rules together in a thoughtful and strategic manner.