f(x) = (3x^3+5x^2+8x-8)/x find the derivative
f(x) = (3x^3+5x^2+8x-8)/x
= 3x^2 + 5x + 8 - 8/x
f ' (x) = 6x + 5 + 8/x^2
or (6x^3 + 5x^2 + 8)/x^2
which is the answer one would get using the quotient rule
= 3x^2 + 5x + 8 - 8/x
f ' (x) = 6x + 5 + 8/x^2
or (6x^3 + 5x^2 + 8)/x^2
which is the answer one would get using the quotient rule