OK, so I'm familiar with implicit differentiation, but this problem is very difficult for me to solve.

Find (dy/dx) for the equation: y = x/(x+y)



PLEASE HELP!!

Do you know the quotient rule?

y=\frac{x}{x+y}

y'=\frac{(x+y)-xy'}{(x+y)^{2}}

Now, solve for y' and tidy up with some algebra.

Can you finish OK?

Well, I got the quotient rule part down. It's just the algebra that I'm stuck on. I keep getting different answers.

You should only get one answer.

If you are solving for dy/dx, try putting all of the dy/dx's on one side of the equation, and all Xs on the other side.

Combine like multiples and then solve for dy/dx.

:D