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# Unit: Differentiation: composite, implicit, and inverse functions

AP Calc:

FUN (BI)

, FUN‑3 (EU)

, LIM (BI)

, LIM‑3 (EU)

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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.AP Calc:

FUN (BI)

, FUN‑3 (EU)

, FUN‑3.C (LO)

, FUN‑3.C.1 (EK)

### Learn

### Practice

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

AP Calc:

FUN (BI)

, FUN‑3 (EU)

, FUN‑3.C (LO)

, FUN‑3.C.1 (EK)

### Learn

### Practice

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

Level up on the above skills and collect up to 400 Mastery points

AP Calc:

FUN (BI)

, FUN‑3 (EU)

, FUN‑3.D (LO)

, FUN‑3.D.1 (EK)

### Learn

### Practice

- Implicit differentiationGet 3 of 4 questions to level up!

AP Calc:

FUN (BI)

, FUN‑3 (EU)

, FUN‑3.E (LO)

, FUN‑3.E.1 (EK)

AP Calc:

FUN (BI)

, FUN‑3 (EU)

, FUN‑3.E (LO)

, FUN‑3.E.2 (EK)

AP Calc:

FUN (BI)

, FUN‑3 (EU)

### Learn

### Practice

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

AP Calc:

FUN (BI)

, FUN‑3 (EU)

### Learn

### Practice

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

Level up on the above skills and collect up to 560 Mastery points

AP Calc:

FUN (BI)

, FUN‑3 (EU)

, FUN‑3.F (LO)

, FUN‑3.F.1 (EK)

, FUN‑3.F.2 (EK)

### Learn

### Practice

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

AP Calc:

LIM (BI)

, LIM‑3 (EU)

, LIM‑3.A (LO)

, LIM‑3.A.1 (EK)

### Practice

- Disguised derivativesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

Up next for you:

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

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