Lagrange Multipliers ● Example 3

Etremizing f(x, y)=1/ 3 (y² (x - 1) + x² (x + 4)) with the constraint condition: g(x,y):= 0.1 x²+ y² = 1. CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.

Curve of Intersection of two surfaces f (x, y) and g(x,y)

Curve of Intersection of two surfaces  f (x, y) and g(x,y)