AP Calculus BC Flashcards: Differentiating Inverse Functions

Study Differentiating Inverse Functions in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Find $(f^{-1})'(9)$ given $f(3)=9$ and $f'(3)=0$ .

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ANSWER

Undefined because $f'(3)=0$ . Cannot divide by zero when $f'(3)=0$ .

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AP Calculus BC: Differentiation: Composite, Implicit, and Inverse Functions

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What this deck covers

This deck focuses on Differentiating Inverse Functions, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 33Practice questions for this set

Let

f(x)=\sqrt{x+1}

for

x\ge-1

and

f(3)=2

. What is

(f^{-1})'(2)

Choose an answer

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