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Topic: Re: Building an Equation to find (Maximum Y) ie Highest Point on a
curve!

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Narasimham

Posts: 350
Registered: 9/16/06
Re: Building an Equation to find (Maximum Y) ie Highest Point on a
curve!

Posted: Sep 12, 2013 4:31 AM
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> 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



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