Describe why the function is continuous at but fails to be differentiable at that point.

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

Problem

Describe why the function g(x)=(x−2)1/3g(x)=(x-2)^{1/3} is continuous at x=2x=2 but fails to be differentiable at that point.

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