# What is the derivative of #y=(2x+1)^2((x^2+5)/(x^2-2))#?

##### 1 Answer

Mar 5, 2018

#### Explanation:

To begin, you want to use the chain rule for the first portion

The chain rule is done by finding the derivative of the outside, keeping the inside, and after that you will multiply it by the derivative of the inside.

This will give us

Next you want to find the derivative of the next function using the quotient rule.

((f'(x)*g(x))-(f(x)*g'(x)))/(g(x))^2

It will look like

After you simplify it should look like

Then you end up with

Finally you can combine the two to get your final answer