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Let \( f(x)=\left\{\begin{array}{ll}x^{2}\left|\cos \frac{\pi}{x}\right|, & x \neq 0 \\ 0, & x=0\end{array}, x \in I R\right. \), then \( f \) is
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(A) differentiable both at \( x=0 \) and at \( x=2 \)
(B) differentiable at \( x=0 \) but not differentiable at \( x=2 \)
(C) not differentiable at \( x=0 \) but differentiable at \( x=2 \)
(D) differentiable neither at \( x=0 \) nor at \( x=2 \)
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