Date: Sep 12, 2013 4:31 AM
Author: Narasimham
Subject: Re: Building an Equation to find (Maximum Y) ie Highest Point on a<br> curve!

> x^4  +  y^4  +  A(x^2)  -   A(y^2)   +  2(x^2)(y^2)
> - B x y + C = 0 = F( x,y ) = F say.


A general procedure when x and y are in an implicit relationship is indicated:

Total differential of F gives

dy/dx = - del F,x / del F,y = 0 or del F,x = 0 ; It is the link relation between x and y.

It gives y = 2 x (A + 2 x^2)/ (B + 4 x^2) which should be plugged into F and solved. May be slightly cumbersome.

Narasimham