Suppose is continuous at but its derivative has a jump discontinuity at

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Suppose ff is continuous at x=5x=5 but its derivative f′f' has a jump discontinuity at x=5x=5. In one sentence, explain why ff is not differentiable at x=5x=5.

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