Let and define

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

Problem

Let

h(x)=|x|

and define

g(x)=x^{2}h(x)

. Determine whether

g'(0)

exists, and if it does, state its value.

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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