Bivariate (two variable) quadratic function(x minimum/maximum)

Description

A bivariate (two variable) quadratic function is a second-degree polynomial which describes a quadratic surface and has the form: f(x,y)=Ax^2 + By^2 + Cx + Dy + Exy + F
If 4AB-E^2>0 the function has a minimum if A>0, and a maximum if A<0

Related formulas

Variables

 xm The x minimum or maximum (dimensionless) B Quadratic coefficient for y (dimensionless) C Linear coefficient for x (dimensionless) D Linear coefficient for y (dimensionless) E Coefficient for xy (dimensionless) A Quadratic coefficient for x (dimensionless)