# How do you find the derivative of the inverse of #f(x)=7x+6# using the definition of the derivative of an inverse function?

##### 1 Answer

Jan 6, 2017

Please see the explanation section below.

#### Explanation:

I'm not sure what you mean by the "definition of the derivative of an inverse function".

The definition of the derivative of any function is the same. We can write the definition using inverse function notation as

but that's just notation.

I'm guessing that you want to use a Theorem about derivatives of inverse functions.

In this case

This means that

Therefore