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# Differentiation: composite, implicit, and inverse functions

AP Calc: FUN (BI), FUN‑3 (EU), LIM (BI), LIM‑3 (EU)

AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.C (LO), FUN‑3.C.1 (EK)

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Identify composite functionsGet 3 of 4 questions to level up!

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Chain rule introGet 3 of 4 questions to level up!

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AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.C (LO), FUN‑3.C.1 (EK)

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Chain rule with tablesGet 3 of 4 questions to level up!

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

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Chain rule capstoneGet 3 of 4 questions to level up!

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Level up on the above skills and collect up to 500 Mastery points

AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.D (LO), FUN‑3.D.1 (EK)

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Implicit differentiationGet 3 of 4 questions to level up!

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AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.E (LO), FUN‑3.E.1 (EK)

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

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AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.E (LO), FUN‑3.E.2 (EK)

AP Calc: FUN (BI), FUN‑3 (EU)

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

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Manipulating functions before differentiationGet 3 of 4 questions to level up!

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AP Calc: FUN (BI), FUN‑3 (EU)

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

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

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Level up on the above skills and collect up to 700 Mastery points

AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.F (LO), FUN‑3.F.1 (EK), FUN‑3.F.2 (EK)

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Second derivativesGet 3 of 4 questions to level up!

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

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AP Calc: LIM (BI), LIM‑3 (EU), LIM‑3.A (LO), LIM‑3.A.1 (EK)

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Disguised derivativesGet 3 of 4 questions to level up!

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Level up on all the skills in this unit and collect up to 1500 Mastery points!#### Unit test

### 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.AP® is a registered trademark of the College Board, which has not reviewed this resource.