Trouble with derivatives!

[nick11]

I am in the midst of a calculus worksheet and it is kicking my butt. Any help would be very appreciated.
The problem I am struggling with is
y=((x^2-3)/(x^2+4))^-2
Find dy/dx

 

[stapel]

y=((x^2-3)/(x^2+4))^-2
Find dy/dx

So you started by using what you learned back in algebra to get rid of the negative power. Then you applied the Chain Rule to the square, applied the Quotient Rule to what's inside the square, and... then what?

Please be complete. Thank you!