AP Calculus BC Flashcards: Applying The Power Rule

Study Applying The Power 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

Differentiate: $f(x) = 5x^{3.5}$ .

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ANSWER

$f'(x) = 17.5x^{2.5}$ . Factor out 5, apply power rule: $5 \cdot 3.5x^{2.5}$ .

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AP Calculus BC: Differentiation: Definition and Fundamental Properties

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Derivative Notation44 cards

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All flashcards

39 cards

What this deck covers

This deck focuses on Applying The Power 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

The temperature model is

T(t)=t^8-6t^4+9t^2+1

. What is

T'(t)

Choose an answer

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