AP Calculus AB Flashcards: Mean Value Theorem

Study Mean Value Theorem 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

Determine $c$ for $f(x)=x^2$ on $[3, 6]$ using the Mean Value Theorem.

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ANSWER

$c = 4.5$ . Set $f'(c) = 2c$ equal to $\frac{36-9}{6-3} = 9$ , so $c = 4.5$ .

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What this deck covers

This deck focuses on Mean Value Theorem, 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 50Practice questions for this set

A function

t

is continuous on

[0,1]

with

t(0)=0

and

t(1)=5

. Does the Mean Value Theorem guarantee a

c

with

t'(c)=5

Choose an answer

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