# Homework Help: Implicit differentiation

1. Mar 12, 2013

### physicsernaw

1. The problem statement, all variables and given/known data

Calculate the derivative with respect to x:
x/y + y/x = 2y

2. Relevant equations

n/a

3. The attempt at a solution

I end up getting the right answer, but what I want to know is how to isolate dy/dx to one side after implicitly differentiating. I have tried differentiating the LHS sum by its terms, and also tried getting the common denominator first of the LHS and differentiating that, but I can't isolate dy/dx.

(I understand that I could isolate y instead and take the derivative, but I wanted to know if there was a way to isolate dy/dx to one side after implicitly differentiating).

2. Mar 12, 2013

### SammyS

Staff Emeritus
What is your result upon implicitly differentiating?

It shouldn't be all that difficult to isolate dy/dx .