# Lagrange Multipliers ● Example 2

- Author:
- Roman Chijner

This interesting example is taken from https://en.wikipedia.org/wiki/Lagrange_multiplier#Example_2:
In this example we will deal with some more strenuous calculations, but it is still a single constraint problem. Suppose we want to find the maximum values of f(x,y)=x

^{2}*y with the condition that the x and y coordinates lie on the circle around the origin with radius √3, that is, subject to the constraint g(x,y):=x^{2}+y^{2}=3. CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.