Need help with this derivative

I really am having an EXTREMELY tough time wrapping my head around the chain rule... i have the problem (-3x^2-4)^4(8x^2+4)^-8

Here is what I did

4(-3x^2-4)^3(-6x)(8x^2+4)^-8 + (-3x^2-4)^4(-8)(8x^2+4)^-9(16x)

=-24x(-3x^2-4)^3(8x^2+4)^-8 - 128x(3x^2-4)^4(8x^2+4)^-9

and thats all i got and i dont know what to do next

Re: Need help with this derivative

that's it. that is the right answer

1 Attachment(s)

Re: Need help with this derivative

we could simplify a bit as indicated. Attachment 29442

Re: Need help with this derivative

So how would I go about simpifying it more?

Re: Need help with this derivative

What do you mean? Have you taken algebra? Use what you learned in algebra to simplify the expression. You can attempt to factor the numerator and denominator. Cancel any factors that you can.