Lagrange Multipliers ● Example 8
- Roman Chijner
- Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Algebra, Calculus, Constructions, Curve Sketching, Cylinder, Derivative, Differential Calculus, Differential Equation, Equations, Optimization Problems, Functions, Geometry, Intersection, Linear Equations, Linear Functions, 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.