\( f(x)=\left(\sin ^{-1} x\right)^{2} \cdot \cos (1 / x) \) if \( x \neq 0 \); \( f(0)=0, f(x) \...

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\( f(x)=\left(\sin ^{-1} x\right)^{2} \cdot \cos (1 / x) \) if \( x \neq 0 \); \( f(0)=0, f(x) \) is
(A) cont. no where in \( -1 \leq x \leq 1 \)
(B) cont. every where in \( -1 \leq x \leq 1 \)
\( \mathrm{P} \)
(C) differentiable no where in \( -1 \leq x \leq 1 \)
W
(D) differentiable everywhere in \( -1x1 \)
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