AP Calculus BC Flashcards: The Product Rule

Study The Product Rule 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

Determine the derivative of $f(x) = x^2 \times \text{e}^x$ using the Product Rule.

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ANSWER

$2x \times e^x + x^2 \times e^x$ . Factor out $x e^x$ to get $x e^x(2 + x)$ .

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All flashcards

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What this deck covers

This deck focuses on The Product Rule, 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 50Practice questions for this set

A growth function is

g(x)=\arctan(x)\,(x^3-2)

. What is

g'(x)

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