Differentiate:

1. $\displaystyle F(y)=(\frac{1}{y^2}-\frac{3}{y^4})(y+5y^3)$

2. $\displaystyle y=\frac{t^2}{3t^2-2t+1}$

3. $\displaystyle y=\frac{v^3-2v\sqrt{v}}{v}$

I tried these and got 2 pages worth of arithmetic for one problem so I know I'm doing something wrong here.