Consider the function

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

Problem

g(x)=\sqrt[3]{x}

. Does

g'(0)

exist? Explain your reasoning in no more than two sentences.

Related theory

Derivative Foundations
Differentiation from first principles
Derivatives
Limits and Derivatives

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