Limits Continuity And Differentiability

Let f : R \(\to\) R and g : R \(\to\) R be respectively given by f(x) = | x | + 1 and g(x) = x² + 1. Define h : R \(\to\) R by \(h(x) = \left\{ {\matrix{ {\max \{ f(x),g(x)\} ,} & {if\,x \le 0.} \cr {\min \{ f(x),g(x)\} ,} & {if\,x > 0.} \cr } } \right.\)

The number of points at which h(x) is not differentiable is