Let \( f: R \rightarrow R \) be defined as \( f(x)=x^{3}+x-5 \). If \( g(x) \) is a function suc...

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Let \( f: R \rightarrow R \) be defined as \( f(x)=x^{3}+x-5 \). If \( g(x) \) is a function such that \( f(g(x))=x, \forall x \in R \), then \( g^{\prime}(63) \) is equal to
(a) \( \frac{1}{49} \)
(b) \( \frac{3}{49} \)
(c) \( \frac{43}{49} \)
(d) \( \frac{91}{49} \)
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