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If \( f(x)=\left\{\begin{array}{rc}-x-\frac{\pi}{2}, & x \leq-\frac{\pi}{2} \\ -\cos x, & -\frac{\pi}{2}x \leq 0, \text { then } \\ x-1, & 0x \leq 1 \\ \text { ln } x, & x1\end{array}\right. \)
\( \mathrm{P} \)
W
(A) \( f(x) \) is continuous at \( x=-\frac{\pi}{2} \)
(B) \( f(x) \) is not differentiable at \( x=0 \)
(C) \( f(x) \) is differentiable at \( x=1 \)
(D) \( f(x) \) is differentiable at \( x=-\frac{3}{2} \)
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