AP Calculus AB Flashcards: Chain Rule

Study Chain Rule in AP Calculus AB with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Differentiate $y = (\ln(x))^3$ .

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ANSWER

$\frac{3(\ln(x))^2}{x}$ . Power rule: $3(\ln(x))^2 \times \frac{1}{x}$ .

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

Calculating Higher-Order Derivatives31 cards

You are hereChain Rule38 cards

Differentiating Inverse Functions16 cards

Differentiating Inverse Trigonometric Functions30 cards

Implicit Differentiation28 cards

Selecting Procedures for Calculating Derivatives38 cards

All flashcards

38 cards

What this deck covers

This deck focuses on Chain Rule, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus AB.

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 50Practice questions for this set

Let

q(x)=\sin\!\big(\ln(x^2+1)\big)

. What is

q'(x)

Choose an answer

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