# Thread: Implicit Differentiation Problem

1. ## Implicit Differentiation Problem

Suppose and . Find when .
= ?

I don't even know how to begin working this problem, please help!

2. Originally Posted by Quiz0n
Suppose and . Find when .
= ?

I don't even know how to begin working this problem, please help!
$xy = 3$

differentiating implicitly with respect to t, we get:

$y~\frac {dx}{dt} + x~\frac {dy}{dt} = 0$

now solve for $\frac {dx}{dt}$ and plug in all the knowns