Let \( g: R \rightarrow R \) be a differentiable function with \( g(0)=0, g^{\prime}(0)=0 \) and \( g^{\prime}(1) \neq 0 \). Let \( f(x)=\left\{\begin{array}{cc}\frac{x}{|x|} g(x), & x \neq 0 \\ 0, & x=0\end{array}\right. \) and \( h(x)=e^{|x|} \) for all \( x \in R \). Let \( (f o h)(x) \) denote \( f(h(x)) \) and \( ( \) hof \( (x) \) denote \( h(f(x)) \).
\( \mathrm{P} \) Then which of the following is(are) true?
(B) \( h \) is differentiable at \( x=0 \)
(A) \( f \) is differentiable at \( x=0 \)
(D) hof is differentiable at \( x=0 \)
(C) foh is differentiable at \( x=0 \)
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