Which of the following is the correct condition for a point to be a critical point of…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Which of the following is the correct condition for a point x=cx=c to be a critical point of a differentiable function ff defined on an open interval? (a) f′′(c)=0f''(c)=0 (b) f′(c)=0 or f′ is not defined at cf'(c)=0 \text{ or } f' \text{ is not defined at } c (c) f(c)=0f(c)=0 (d) f′(c)=0 and f′′(c)=0f'(c)=0 \text{ and } f''(c)=0

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