Lagrange Multipliers ● Example 7

Extremizing f(x, y)=exp(-x² - 2y²) (x² + 3y²) with the constraint condition: g(x,y):=x⁴ + 2y⁶ + x y - 0.8 = 0 . CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.
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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).