Lagrange Multipliers ● Example 8
- Roman Chijner
- Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Algebra, Calculus, Constructions, Curve Sketching, Cylinder, Derivative, Equations, Optimization Problems, Functions, Geometry, Intersection, Linear Programming or Linear Optimization, Mathematics, Parametric Curves, Planes, Surface, Vectors
Extremizing f(x, y)=exp(-x² - y²) (x² + y²) with the constraint condition: g(x,y):= x⁴ + y⁴ - 0.8 = 0. An interesting example with a large number of critical points. CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.