Question

Find the derivative of:
(x-4)(x^2+4x+16) / x^3

Answer 1

\[\frac{ (x-4)(x ^{2}+4x+16) }{ x ^{3} }\] Easier to look at.

Answer 2

use product rule for (x-4)(x^2 + 4x + 16) x^-3
or quotient rule

Answer 3

(x^2+4x+16)/x^3 - 3⋅(x−4)⋅(x^2+4x+16)/x^4 + (x−4)⋅(2x+4)/x^3