# Implicit differentiation

1. Apr 1, 2013

### 5ymmetrica1

1. The problem statement, all variables and given/known data
For the curve x2+3xy+y2 = 5

show that $\frac{dy}{dx} =- \frac{2x+3y}{3x+2y}$

2. Relevant equations

N.A.

3. The attempt at a solution
2x + 3xy + 2y$\frac{dy}{dx}$ = 0

3x + 2y $\frac{dy}{dx}$ = -2x+ 3y

∴ $\frac{dy}{dx} =- \frac{2x+3y}{3x+2y}$

have I done this correctly?

2. Apr 1, 2013

### ehild

No. You forgot to differentiate 3xy, or you forgot to write it out, and there are other problems with parentheses.

ehild