Differentiate each function with respect to x.

f(x)= 5/(4x^3+4)

y=4x^3-3x^2/(4x^5-4)

etc etc...

I'll start with the first one. So, firstly

f'(x)= (4x^3+4)(0)-(5)(12x^2)/(4x^3+4)^2

=-5(12x^2)/(4x^3+4)^2

And I would assume I just had to multiply everything out (simplify it) and that'd be the end of it?? It looks like they did the chain rule or something because the answer the worksheet gives is

=-15x^2/4x^6+8x^3+4

I'm at a total loss. I'm assuming I'm making similar mistakes with the second problem and all the other ones I can't really solve. Thanks in advance!