AP Calculus AB Flashcards: Local Linearity And Linearization

Study Local Linearity And Linearization in AP Calculus AB with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

State the linear approximation for $f(x) = \frac{1}{x}$ at $x = 2$ .

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ANSWER

$L(x) = \frac{1}{2} - \frac{1}{4}(x - 2)$ . Since $f(2) = \frac{1}{2}$ and $f'(2) = -\frac{1}{4}$ .

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What this deck covers

This deck focuses on Local Linearity And Linearization, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus AB.

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 45Practice questions for this set

U(7)=3

and

U'(7)=-2

, use local linearity at

7

to approximate

U(7.1)

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