Explain why the function fails to be differentiable at

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Explain why the function f(x)=∣x∣f(x)=|x| fails to be differentiable at x=0x=0. Your response should refer to the behavior of the pertinent one-sided limits.

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