Define f(x)= cases |x+2|,& x -1 x^ 2 ,& -1<x<1 x^ 1/3 ,& x 1 cases List all -values…

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

Problem

Define f(x)={∣x+2∣,x≤−1x2,−1<x<1x1/3,x≥1f(x)=\begin{cases}|x+2|,& x\le -1\\ x^{2},& -1<x<1\\ x^{1/3},& x\ge 1\end{cases} List all xx-values where ff is not differentiable. For each such xx-value, indicate whether the point is a corner or a cusp.

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