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Mean Value Theorem and Extreme Value Theorem

AP Calculus AB· difficulty 2/5

On a closed interval [a,b][a, b], absolute extrema of a continuous ff can occur at

  • A

    Critical points only

  • B

    Critical points or endpoints

    check_circle
  • C

    Endpoints only

  • D

    Inflection points

Explanation

Closed-interval method: check ff at all critical points and at the two endpoints; pick the largest/smallest.

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