# Solve this following

Question:

If $\mathrm{g}$ is the inverse of a function $f$ and $f^{\prime}(\mathrm{x})=\frac{1}{1+\mathrm{x}^{5}}$, then $\mathrm{g}^{\prime}(\mathrm{x})$ is equal to :

1. $1+x^{5}$

2. $5 x^{4}$

3. $\frac{1}{1+\{g(x)\}^{5}}$

4. $1+\{g(x)\}^{5}$

Correct Option: , 4

Solution: