# How do you use the definition of a derivative to find the derivative of #f(x)=(x+1)/(x-1)#?

##### 1 Answer

Dec 11, 2016

There are a few formulas for the definition of a derivative that follow the same idea:

We'd plug in our function into one of these limits and solve.

#### Explanation:

Since

Then:

If you expand this algebraically and simplify, you should end up with:

Solve the limit:

Now you can plug in