Differentiation of Inverse Functions

In mathematics, an inverse is a function that serves to “undo” another function. That is, if f(x) produces y , then putting y into the inverse of f produces the output x . A function f that has an inverse is called invertible and the inverse is denoted by f−¹ .

The differential of an inverse function can be calculated in much the same way as a standard differentiation. Although this concept may seem abstract, it has important implications in carrying out more advanced mathematical computations.