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=ax=a, which one of the following must be true? (a) f′f' is continuous at x=ax=a (b) ff is continuous at x=ax=a (c) f′(a)=0f'(a)=0 (d) ff has a local maximum at x=ax=a

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