Let  $f\left(x\right)=\left\{\begin{array}{l}{\left(x-1\right)}^2\cos \frac{1}{x-1}-\left|x\right|,x\ne 1\\ -1,x=1\end{array}\right..$ The set of points where  $f\left(x\right)$ is not differentiable is

• A

  $\left\{0\right\}$

• B

  $\left\{1\right\}$

• C

  $\left\{0,1\right\}$

• D

  None of these