Let $\mathrm{a}, \mathrm{b} \in \mathrm{R}$ and $f: \mathrm{R} \rightarrow \mathrm{R}$ be defined by $\mathrm{f}(\mathrm{x})=\mathrm{a} \cos \left(\left|\mathrm{x}^3-\mathrm{x}\right|\right)+\mathrm{b}|\mathrm{x}| \sin \left(\left|\mathrm{x}^3+\mathrm{x}\right|\right)$. Then f is
Select ALL correct options:
A
differentiable at $x=0$ if $a=0$ and $b=1$
B
differentiable at $x=1$ if $a=1$ and $b=0$
C
NOT differentiable at $x=0$ if $a=1$ and $b=0$
D
NOT differentiable at $\mathrm{x}=1$ and $\mathrm{a}=1$ and $\mathrm{b}=1$
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