Explain why the function is not differentiable at even though it is continuous there.

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

Problem

Explain why the function

f(x)=|x|

is not differentiable at

x=0

even though it is continuous there.

Related theory

Derivative Foundations
Differentiability
Differentiability of functions
Continuity and Differentiability

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