Question

use logarithmic differentiation to find the derivative of y with respect to x:

Answer 1

\[y=\sqrt[3]{\frac{ x(x+1)(x-2) }{ (x ^{2}+1)(2x+3)}}\]

Answer 2

ln[y] = (1/3) ln [ (x(x+1)(x-2)) / ((x^2+1)(2x+3)) ]
take the derivative now :

(dy/dx) / y = (1/3) * [ (x(x+1)(x-2)) / ((x^2+1)(2x+3)) ]' / y^3
can you do it now ?

Answer 3

Yep...thank you! :)

Answer 4

yw. Im glad you can, this is a lot of work

Answer 5

Even more work if logarithmic differentiation is not allowed :D