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Second Derivative Test

AP Calculus AB· difficulty 3/5

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At a critical point where f′′(c)<0f''(c) < 0, ff has a:

  • A

    Cannot tell

  • B

    Local minimum

  • C

    Local maximum

    check_circle
  • D

    Inflection point

Explanation

f′(c)=0f'(c) = 0 and f′′(c)<0f''(c) < 0 implies a local max.

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