Explain, with reference to the limiting process, why the function is not…

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

Problem

Explain, with reference to the limiting process, why the function

y=|x|

is not differentiable at

x=0

although it is continuous there.

Related theory

Derivative Foundations
Differentiation from first principles
Differentiability of functions
Continuity and Differentiability

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