Find the derivative dy/dx for the following. Simplify your answer.

Question

y=(ln(x^2))/(x^3)

I got (2/x x^3-3x^2 ln(x^2))/((x^3)^2) for the derivative is that correct? Or no?

Answer 1

It looks good, but could probably be massaged a bit. How about

(2-6logx)/x^4

Answer 2

Steve I got the answer that you have originally but got it marked wrong on the test so that's why I'm unsure.

Answer 3

that's the problem with complicated stuff like this. There are always several ways to write it. Bad area for short-answer responses.