Let \(f(x)={x}^{5}+2{e}^{x/4}\) for all \(x\in R\). Consider a function \(g(x)\) such that \((g∘f)(x)=x\) for all \(x\in…

Let \(f(x)={x}^{5}+2{e}^{x/4}\) for all \(x\in R\). Consider a function \(g(x)\) such that \((g∘f)(x)=x\) for all \(x\in R\). Then the value of \(8{g}^{'}(2)\) is :

[JEE Main 2024, 4 Apr (Shift 1)]