Which of the following statements is the necessary condition for a point to be a…

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

Problem

Which of the following statements is the necessary condition for a point x=cx=c to be a stationary point of a twice-differentiable function f(x)f(x)? (a) f′′(c)=0f''(c)=0 (b) f′(c)=0f'(c)=0 (c) f(c)=0f(c)=0 (d) f′(c)≠0f'(c)\neq 0

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