Give an explicit formula for a function that is

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

Problem

Give an explicit formula for a function that is (i) continuous and even on

\mathbb R

, (ii) bounded, and (iii) not differentiable at exactly one point. State that point of non-differentiability.

Related theory

Polynomial Functions
Derivative Foundations
Differentiability

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