
Originally Posted by
drkidd22
Hello All,
I'm working on differentiations right now and I'm having a little trouble trying to fully understand. I did this one, but I'm not sure if it's right.
$\displaystyle
x^2y=x+y^2$
$\displaystyle \frac{d}{dx}[x^2y]=\frac{d}{dx}[x]+\frac{d}{dx}[y^2]$ Good
$\displaystyle 2xy\frac{dy}{dx}[y]=x+\frac{dy}{dx}[2y]$ Product rule on left hand side... and, what is the derivative of x with respect to x?
$\displaystyle
\frac{dy}{dx}(y-2y)=x-2xy$
$\displaystyle
\frac{dy}{dx}=\frac{x-2xy}{y-2y}$
Did I do it right?