Let \( a, b \in R \) and \( f: R \rightarrow R \) be defined by \( ...

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