# How do you derive #y = (4x − 2) / (x^2 + 1)# using the quotient rule?

##### 1 Answer

Jan 6, 2016

For "How", see the explanation section, below.

#### Explanation:

Quotient rule:

In this function, we have

and

#v=x^2+1# , so#v'=2x# .

Apply the rule:

# = (4x^2-4-8x^2+4x)/(x^2-1)^2#

# = (-4x^2+4x-4)/(x^2-1)^2# .

As usual, this answer can be written in other forms.