Let . Determine whether exists. Give a brief reason for your…

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

Problem

Let

g(x)=|x|\,x

. Determine whether

g'(0)

exists. Give a brief reason for your answer.

Related theory

Derivative Foundations
Differentiation from first principles
Derivatives
Limits and Derivatives

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