# differentiate

• February 22nd 2006, 04:12 PM
sheven
differentiate
how do you find dy/dx for: x^2 - 3lny+y^2=10
• February 22nd 2006, 06:12 PM
Vigo
Sheven, it is in our book I will show you tomorrow. p. 322 #73
The answer is in the back since it is odd.
I have several of the other answers. They are all somewhere in the book so if Frankenstein's otebook is there we can look them up.
• February 23rd 2006, 12:27 PM
ThePerfectHacker
Quote:

Originally Posted by sheven
how do you find dy/dx for: x^2 - 3lny+y^2=10

Use implicit diffrenciation,
$2x-\frac{3}{y}\frac{dy}{dx}+2y\frac{dy}{dx}=0$
Thus,
$\frac{dy}{dx}\left(2y-\frac{3}{y}\right)=-2x$
Thus,
$\frac{dy}{dx}=\frac{2x}{\frac{3}{y}-2y}$Thus,
$\frac{dy}{dx}=\frac{2xy}{3-2y^2}$