Lagrange Multipliers ● Example 6
- Roman Chijner
- Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Algebra, Calculus, Constructions, Cylinder, Derivative, Differential Calculus, Differential Equation, Equations, Optimization Problems, Geometry, Intersection, Linear Equations, Linear Programming or Linear Optimization, Mathematics, Parametric Curves, Geometric Transformations, Vectors
Extremizing f(x, y)=0.00001*exp(-x² - 2y²) (x² + 3y²) with the constraint condition: g(x,y):= x² + y + 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.