# Defferentiate f(x) = x-1/x+1 ? Thank you

##### 2 Answers

#### Explanation:

quotient rule, for two different functions

if

Through another method, we see

#### Explanation:

Notice that the answer derived by LM,

This seems pretty coincidental, but we can see another way of differentiating the given function to see how to arrive at this answer more quickly.

Let's start by rewriting the numerator of the function in question:

We do this in order to split the function up and achieve some form of simplification in

Assuming you've learned the chain rule, this is relatively simple to differentiate. The derivative of

We then see that:

#=2(x+1)^-2*1#

#=2/(x+1)^2#

As was found before!