Mathematics - Continuity - Differentiability Question with Solution | TestHub

A function $f$ is defined on $[-3,3]$ as

$f\left(x\right)=\left\{\begin{array}{c}\min \left\{\left|x\right|,2-x^2\right\},-2\le x\le 2\\ \left[\right|x\left|\right] , 2<\left|x\right|\le 3\end{array}\right.$

where $\left[x\right]$ denotes the greatest integer $\le x$. The number of points, where $f$ is not differentiable in $\left(-3,3\right)$ is ___ .