I have another question if someone wouldn't mind helping me.
how would you differentiate:
y = ((x^2+4)^2) * ((2x^3-1)^3)
My first thought was that it involved two separate Chain Rules within a Product Rule. This seemed to work until I got a little stuck on how to simplify.
this is how far I got:
y= ((x^2+4)^2) * ((2x^3-1)^3)
y= (((x^2+4)^2) * (3(2x^3-1)^2)*(6x^2)) + (((2x^3-1)^3) * (2(x^2+4)2x)
y= (((x^2+4)^2) * (18x^2(2x^3-1)^2)) + (((2x^3-1)^3) * (4x^3+16x))
As far as I can tell I performed the Product Rule with the Chain Rules correctly but I'm not sure how it wraps up.