If a function is differentiable at

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

Problem

If a function ff is differentiable at x=2x=2, which of the following must also be true? (a) f′′(2)f''(2) exists. (b) f′(2)=0f'(2)=0. (c) ff is continuous at x=2x=2. (d) f′f' is continuous at x=2x=2.

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