3.3 Differentiating Inverse Functions

Inverse functions essentially “reverse” what the original function did. You likely encountered Inverse Functions in Algebra II and/or Pre-Calculus when reflecting a function along y = x.

We denote functions as f(x) and their inverses as f^-1(x).

Confused? Don't worry! We'll break it down.

Calculating the derivative of an Inverse function isn’t really much more difficult than deriving normal functions - it simply requires knowing the formula:

Let’s look at an example problem to clarify!

With some quality practice, Inverse Functions will be a piece of cake! Give the ones below a try.