Lagrange Multipliers ● Example 2

This interesting example is taken from 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)=x2*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):=x2+y2=3. CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.