AP Calculus BC Flashcards: Rates Of Change In Applied Concepts

Study Rates Of Change In Applied Concepts 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 the rate of change of the volume of a sphere with respect to its radius.

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ANSWER

dVdr=4πr2\frac{dV}{dr} = 4\pi r^2. Derivative of V=43πr3V = \frac{4}{3}\pi r^3 using power rule.

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AP Calculus BC: Contextual Applications of Differentiation

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This deck focuses on Rates Of Change In Applied Concepts, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

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A population is modeled by N(t)=800e0.03tN(t)=800e^{0.03t} organisms, with tt in weeks. What is N(0)N'(0)?
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