AP Calculus BC Flashcards: Determining Intervals On Increasing Decreasing Functions

Study Determining Intervals On Increasing Decreasing Functions 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

How can you determine the critical points of f(x)=x36x2f(x) = x^3 - 6x^2?

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ANSWER

Solve f(x)=0f'(x) = 0: x=0,4x = 0, 4. f(x)=3x212x=3x(x4)f'(x) = 3x^2 - 12x = 3x(x-4), set equal to zero.

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AP Calculus BC: Analytical Applications of Differentiation

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What this deck covers

This deck focuses on Determining Intervals On Increasing Decreasing Functions, 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
If f(x)=1xxf'(x)=\dfrac{1-x}{\sqrt{x}} for x>0x>0, on which interval(s) is ff increasing?
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