differentiate

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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,
$\frac{dy}{dx}=\frac{2xy}{3-2y^2}$

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