Let . Determine the -value(s) where does not…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f(x)={x+2,x<1∣x−1∣+3,x≥1f(x)=\begin{cases}x+2,&x<1\\|x-1|+3,&x\geq1\end{cases}. Determine the xx-value(s) where f′(x)f'(x) does not exist. (a) x=1x=1 (b) x=−1x=-1 (c) No real values of xx (d) x=0x=0

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