Let f(x)= cases (x+1)^ 2/3 , & x -1

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f(x)={(x+1)2/3,x≤−1,sin⁡x,x>−1.f(x)=\begin{cases} (x+1)^{2/3}, & x\le -1,\\ \sin x, & x>-1. \end{cases} Determine whether ff is differentiable at x=−1x=-1. Provide a brief statement of your conclusion.

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