Yeah, I tried explaining that to my calc teacher and he just said that it was incorrect because they were not the same. At the time I did not realize I could prove the abs(x)/x to be equal to x/abs(x) so I just let it go.
Still have to prove that my answers right to my teacher though. Thank you again. I know it might seem stupid but this question had been bothering me for a while and finding out I'm right feels good.
I have no problem that I am trying to solve but simply a question about the derivative of an absolute value equation. I know that the derivative of and absolute value function is (x*x')/(abs(x)) and I understand the process of reaching this equation through the process shown here...