Question

use algebraic technique to rewrite each function as a sum or difference; then find the derivative.

f(x)=(6x^2+1) / (x^3)

Answer 1

\[Let I=\int\limits \frac{ 6x ^{2}+1 }{ x ^{3} }dx\]
\[I=\int\limits \frac{ 6x ^{2} }{ x ^{3} }dx+\int\limits \frac{ 1 }{ x ^{3} }dx=\int\limits \frac{ 6 }{x }dx+\int\limits x ^{-3}dx\]
now you can solve it.