Inverse functions and differentiation

In mathematics, the inverse of a function ${\displaystyle y=f(x)}$ is a function that, in some fashion, "undoes" the effect of ${\displaystyle f}$ (see inverse function for a formal and detailed definition). The inverse of ${\displaystyle f}$ is denoted ${\displaystyle f^{-1}}$. The statements y = f(x) and x = f ⁻¹(y) are equivalent.

...
Wikipedia