Extrema: First Derivative Test

AP Calculus AB· difficulty 2/5

The curve has a peak and a valley (marked). At each marked point,

  • A

    f<0f' < 0

  • B

    ff is undefined

  • C

    f=0f' = 0

    check_circle
  • D

    f>0f' > 0

Explanation

Smooth interior extrema have horizontal tangents → f=0f' = 0.

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