Which statement must be true if a function is differentiable at ?

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

Problem

Which statement must be true if a function ff is differentiable at x=3x=3? (a) f′(3)=0f'(3)=0. (b) f′f' is continuous at x=3x=3. (c) ff is continuous at x=3x=3. (d) ff is continuous on an open interval containing x=3x=3.

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