For the function

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

Problem

For the function

p(x)=x^{1/3}

, determine whether a tangent line exists at

x=0

. If it does, give its equation; if it does not, state why no tangent line exists there.

Related theory

Derivative Foundations
Differentiation from first principles
Derivatives
Limits and Derivatives

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