Provide an explicit example of a function defined on that is continuous everywhere on…

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

Problem

Provide an explicit example of a function defined on [0,1][0,1] that is continuous everywhere on that interval but not differentiable at exactly one interior point, thereby satisfying the hypotheses of the Extreme Value Theorem while violating those of the Mean Value Theorem.

Related theory

Browse the problem library