Let \( f: R \rightarrow R, g: R \rightarrow R \) and \( h: R \right...

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Let \( f: R \rightarrow R, g: R \rightarrow R \) and \( h: R \rightarrow R \) be differentiable functions such that \( f(x)=x^{3}+3 x+2 \), \( g(f(x))=x \) and \( h(g(g(x)))=x \) for all \( x \in R \). Then
\( \mathrm{P} \)
(A) \( g^{\prime}(2)=\frac{1}{15} \)
(B) \( h^{\prime}(1)=666 \)
(C) \( h(0)=16 \)
(D) \( \mathrm{h}(\mathrm{g}(3))=36 \)
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