AP Calculus BC Flashcards: Lagrange Error Bound

Study Lagrange Error Bound 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

Evaluate $R_2(x)$ for $f(x) = e^x$ at $x = 0.2$ , $a = 0$ .

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ANSWER

$R_2(0.2) = \frac{e^{0.2} (0.2)^3}{3!}$ . The third derivative of $e^x$ is $e^x$ , maximum at $x = 0.2$ .

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What this deck covers

This deck focuses on Lagrange Error Bound, 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

For

f(x)=\cos x

, use

P_2(x)=1-\frac{x^2}{2}

about

0

; if

|f^{(3)}(x)|\le 1

[0,0.4]

, what maximum error at

x=0.4

Choose an answer

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