Evaluate the left-hand and right-hand derivatives of at and state whether is…

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

Problem

Evaluate the left-hand and right-hand derivatives of

f(x)=x^{2/3}

x=0

and state whether

f

is differentiable at that point.

Related theory

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

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