Differentiation of Inverse Functions

In mathematics, an inverse is a function that serves to undo another function. For example, if f(x) results in y, then plugging y into f’s inverse function results in 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.