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).
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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.
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3.3Differentiating Inverse Functions