Second Derivative Test

AP Calculus AB· difficulty 2/5

If f(c)=0f'(c) = 0 and f(c)>0f''(c) > 0, then cc is a

  • A

    Inflection point

  • B

    Local minimum

    check_circle
  • C

    Cannot tell

  • D

    Local maximum

Explanation

f(c)>0f''(c) > 0 at a critical point → concave up → local min.

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