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AP Calculus BC Flashcards: Introduction To Related Rates

Study Introduction To Related Rates 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 A=12bhA = \frac{1}{2}bh with respect to time.

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ANSWER

dAdt=12(bdhdt+hdbdt)\frac{dA}{dt} = \frac{1}{2}(b\frac{dh}{dt} + h\frac{db}{dt}). Product rule for triangle area with two variables.

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AP Calculus BC: Contextual Applications of Differentiation

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What this deck covers

This deck focuses on Introduction To Related Rates, 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 circle's radius r(t)r(t) changes and its area is A=πr2A=\pi r^2; which setup finds drdt\dfrac{dr}{dt} from dAdt\dfrac{dA}{dt}?
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