Let . Identify every point at which is not differentiable and classify the…

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

Problem

Let

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

. Identify every point at which

f

is not differentiable and classify the non-differentiability at each of those points (e.g., cusp, corner, vertical tangent, discontinuity).

Related theory

Differentiation Rules
Derivative Foundations
Differentiability
Differentiability of functions
Continuity and Differentiability

Browse the problem library