Let f: R → R be defined as f(x)=x^3+x-5 If g(x) is a function such that f(g(x))=x, ∀ ‘ x ’ ∈ R, then g^′(63) is equal to \ \ \ \.

Let $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ be defined as $$f(x)=x^3+x-5 $$ If $\displaystyle g(x)$ is a function such that $\displaystyle f(g(x))=x, \forall \text{‘}x\text{’} \in \mathbf{R}$, then $\displaystyle g^{\prime}(63)$ is equal to \_\_\_\_.