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WOLFRAM|DEMONSTRATIONS PROJECT

Graphical Illustration of Bivariate Constrained Optimization

choose function

x+y

move point

cylinder

axes

boxed

surface opacity

This Demonstration illustrates graphically finding a constrained extrema of a function of two variables

z=f(x,y)

with a constraint

g(x,y)=0

. In this Demonstration

g(x,y)=

-1

. 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=g(x,y)

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