For \( x \in R, f(x)=|\log 2-\sin x| \) and \( g(x)=f(f(x)) \), then (1) \( g^{\prime}(0)=\cos (...

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For \( x \in R, f(x)=|\log 2-\sin x| \) and \( g(x)=f(f(x)) \), then
(1) \( g^{\prime}(0)=\cos (\log 2) \)
\( \mathrm{P} \)
(2) \( g^{\prime}(0)=-\cos (\log 2) \)
W.
(3) \( g \) is differentiable at \( x=0 \) and \( g^{\prime}(0)=-\sin (\log 2) \)
(4) \( g \) is not differentiable at \( x=0 \)
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