Does there exist a function which is continuous everywhere but not differentiable at…

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

Problem

20. Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.

Related theory

Derivative Foundations
Differentiability
Differentiability of functions
Continuity and Differentiability

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