Question

Find the derivative of F(y)= (1/y^2 - 3/y^4)(y+5y^3)

Answer 1

\[(\frac{1}{y^{2}}-\frac{3}{y^{4}})(y+5y^{3})\]
correct?

Answer 2

yes!

Answer 3

ok first combine fractions
\[(\frac{y^{2}-3}{y^{4}})(y+5y^{3})\]
multiply
\[\frac{5y^{5}-14y^{3}-3y}{y^{4}}\]
\[=5y-14y^{-1}-3y^{-3}\]
now it should seem easier to take derivative :)

Answer 4

thank you so much! The algebra gets me every time!

Answer 5

no problem