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


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


ymThe y minimum or maximum (dimensionless)
AQuadratic coefficient for x (dimensionless)
DLinear coefficient for y (dimensionless)
CLinear coefficient for x (dimensionless)
ECoefficient for xy (dimensionless)
BQuadratic coefficient for y (dimensionless)