`f(x) = (x^3 - 3x^2 +4)/(x^2)` Find the derivative of the function.
Divide each term by to avoid the quotient rule.
`f(x) = x-3+4x^-2`
Take the derivative of each term. Use the power rule for the last term.
`f'(x) = 1-8x^-3`
Rewrite the negative exponent as a fraction.
The answer is:
`f'(x) = 1-8/x^3`