# How do you differentiate #f(x)= (x-1)/(x+1)^3# using the quotient rule?

##### 1 Answer

You've got to use both the quotient rule and the chain rule together, giving you

#### Explanation:

Using the quotient rule, you may let

In order to solve this you would use

where

Then,

Simply, the chain rule can be used so that

(where

which, after expanding =

Now with the knowledge of the derivatives of u and v, you can differentiate the function using the quotient rule by substituting in the v and u values:

=

After simplifying, this gives:

=

Which is your final answer.