> $$
\text { If } f(x)=\left\{\begin{array}{cl}
\left(\sin ^{-1} x\right)^{2} \cos ^{-1}\left(\frac{1}{x}\right) & x \neq 0 \\
0 & x=0
\end{array} \text { then } \mathrm{f}(\mathrm{x})\right. \text { is }
$$
(A) Continuous nowhere in $[-1,1]$
(B) Continuous everywhere in $[-1,1]$
(C) differentiable nowhere in $[-1,1]$
(D) differentiable everywhere in except $x=0$