AP Calculus BC Flashcards: Estimating Derivatives Of A Function

Study Estimating Derivatives Of A Function 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

Estimate f(3)f'(3) for f(x)=sinxf(x) = \sin x using h=0.01h = 0.01 and the forward difference quotient.

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ANSWER

-0.9895. Forward formula: sin(3.01)sin(3)0.010.9895\frac{\sin(3.01) - \sin(3)}{0.01} \approx -0.9895

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AP Calculus BC: Differentiation: Definition and Fundamental Properties

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This deck focuses on Estimating Derivatives Of A Function, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

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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.

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Which of the following is the best estimate of the growth rate H(12)H'(12) in centimeters per day?
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