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