Let $\mathrm{f}:\mathrm{ℝ}\to \mathrm{ℝ}\text{ and }\mathrm{g}:\mathrm{ℝ}\to \mathrm{ℝ}$be respectively given by $\mathrm{f}\left(\mathrm{x}\right)=\left|\mathrm{x}\right|+1$and $\mathrm{g}\left(\mathrm{x}\right)={\mathrm{x}}^2+1$.Define $\mathrm{h}:\mathrm{ℝ}\Rightarrow \mathrm{ℝ}\text{ by }\mathrm{h}\left(\mathrm{x}\right)=\left\{\begin{array}{l}max.\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\left\{\mathrm{f}\right(\mathrm{x}),\mathrm{g}(\mathrm{x}\left)\right\}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\text{if }\mathrm{x}\le 0\\ min.\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\left\{\mathrm{f}\right(\mathrm{x}),\mathrm{g}(\mathrm{x}\left)\right\}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\text{if }\mathrm{x}>0\end{array}\right.$.The number of points at which h(x) is not differentiable is