Extrema: First Derivative Test

AP Calculus AB· difficulty 2/5

x a b

On the closed interval [a,b][a, b], the absolute maximum of ff occurs at:

  • A

    Only at endpoints

  • B

    A local max or endpoint

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  • C

    Only interior critical points

  • D

    Where f=0f''=0

Explanation

Absolute extrema on a closed interval occur at critical points or endpoints (Extreme Value Theorem).

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