Curve Sketching

AP Calculus AB· difficulty 3/5

Given f>0f' > 0 on (,2)(-\infty, 2), f<0f' < 0 on (2,)(2, \infty), and ff continuous, ff has

  • A

    A local maximum at x=2x = 2

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  • B

    A local minimum at x=2x = 2

  • C

    An inflection point at x=2x = 2

  • D

    No critical point

Explanation

ff' goes from ++ to - at x=2x = 2 → local max.

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