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Extrema: First Derivative Test

AP Calculus AB· difficulty 3/5

x=1 x=4

The graph shows f′(x)f'(x), with f′f' positive then negative then positive, crossing zero at x=1x = 1 and x=4x = 4. The function ff has a local <strong>min</strong> at

  • A

    Nowhere

  • B

    x=4x = 4

    check_circle
  • C

    x=1x = 1

  • D

    x=0x = 0

Explanation

f′f' goes from −- to ++ at x=4x = 4 → local min.

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