Mathematics - Continuity - Differentiability Question with Solution | TestHub

Let$f :R\to R$and$g :R\to R$be respectively given by$f\left(x\right)=\left|x\right|+1$and$g\left(x\right)=x^2+1.$Define$h :R\to R$by$h\left(x\right)= \left\{\begin{array}{ccc}\max \left\{f\left(x\right), g\left(x\right)\right\}& if& x \le 0\\ \min \left\{f\left(x\right), g\left(x\right)\right\}& if& x>0\end{array}\right.$
Then number of points at which$h\left(x\right)$is not differentiable is_________