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Unit: Differentiation: composite, implicit, and inverse functions
AP Calc:
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!
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!
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!
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