AP Calculus BC Flashcards: First Derivative Test

Study First Derivative Test 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

What is the First Derivative Test used for?

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ANSWER

To determine relative (local) extrema of a function. Identifies local maxima and minima by analyzing sign changes of $f'(x)$ .

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AP Calculus BC: Analytical Applications of Differentiation

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All flashcards

33 cards

What this deck covers

This deck focuses on First Derivative Test, 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

A function

g

satisfies

g'(x)>0

(2,5)

and

g'(x)<0

(5,9)

; where is a local maximum?

Choose an answer

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