Second Derivative Test

AP Calculus AB· difficulty 3/5

x

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

  • A

    Inflection point

  • B

    Local maximum

  • C

    Saddle point

  • D

    Local minimum

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Explanation

Second derivative test: f(c)=0f'(c) = 0 and f(c)>0f''(c) > 0 implies local min.

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