Question:
A function $f$ is defined on $[-3,3]$ as
$f(x)=\left\{\begin{array}{cc}\min \left\{|x|, 2-x^{2}\right\}, & -2 \leq x \leq 2 \\ {[|x|]} & , 2<|x| \leq 3\end{array}\right.$
where $[\mathrm{x}]$ denotes the greatest integer $\leq \mathrm{x}$. The number of points, where $\mathrm{f}$ is not differentiable in $(-3,3)$ is
Solution:
Points of non-differentiability in $(-3,3)$ are at $x=-2,-1,0,1,2$.
i.e. 5 points.
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