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Topic: Building an Equation to find (Maximum Y) ie Highest Point on a curve!
Replies: 14   Last Post: Sep 14, 2013 3:40 PM

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Posts: 6
Registered: 9/11/13
Building an Equation to find (Maximum Y) ie Highest Point on a curve!
Posted: Sep 11, 2013 11:28 AM
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x^4 + y^4 + A(x^2) - A(y^2) + 2(x^2)(y^2) - Bxy + C = 0

If I have correctly evaluated

dy/dx to be = [4(x^3) + 2Ax + 4x(y^2) - By]

and if it is proper to set this then equal to zero
to give a new equation that could be merged with the original to get rid
of the cumbersome XY terms - then that i failed to do.

I've tried completing squares etc but can not get rid of composite XY terms.

If I could eliminate X and get a generalised Y-Only equation
then I could manage the rest.

Any help would be appreciated

Mervyn Mc Crabbe

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