Let $f$ be a function such that   :$f:\mathbb{R}\to \mathbb{R}$  and $f^{-1}$ is a reciprocal function of $f$ I w'd like to know how do i solve this class of differencial equation   :  $$\displaystyle \ f'= e^{\displaystyle {f}^{-1}}$$ ?.

**Note:** $f' =\displaystyle\frac{df}{dx}$.


Thank you for any help