The number of points, where the function $f: \mathbf{R} \rightarrow \mathbf{R}$, $f(x)=|x-1| \cos |x-2| \sin |x-1|+(x-3)\left|x^{2}-5 x+4\right|$, is NOT differentiable, is :

Question

The number of points, where the function $f: \mathbf{R} \rightarrow \mathbf{R}$,

$f(x)=|x-1| \cos |x-2| \sin |x-1|+(x-3)\left|x^{2}-5 x+4\right|$, is NOT differentiable, is :

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