Lagrange Multipliers ● Example 2

[size=85][color=#000000]This interesting example is taken from [url=https://en.wikipedia.org/wiki/Lagrange_multiplier#Example_2]https://en.wikipedia.org/wiki/Lagrange_multiplier#Example_2[/url][/color][color=#000000]:[/color][br][color=#000000]In this example we will deal with some more strenuous calculations, but it is still a single constraint problem. [/color][color=#000000]Suppose we want to find the maximum values of f(x,y)=x[sup]2[/sup]*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[sup]2[/sup]+y[sup]2[/sup]=3.[/color][br] CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.[/size]

Information: Lagrange Multipliers ● Example 2