# Graphical Illustration of Bivariate Constrained Optimization

Graphical Illustration of Bivariate Constrained Optimization

This Demonstration illustrates graphically finding a constrained extrema of a function of two variables with a constraint . In this Demonstration . While the brown point moves on the unit circle, the cyan point moves on the curve, which is the intersection of the surface that is the graph of the function and the cylinder given by .

z=f(x,y)

g(x,y)=0

g(x,y)=+-1

2

x

2

y

f

z=g(x,y)