Lagrange Method Calculator
Solve constrained optimization problems using Lagrange multipliers with step-by-step solutions
Example Problems
Lagrange Multiplier Solution
Step 1: Define the Lagrangian
ℒ(x,y,λ) = f(x,y) - λ(g(x,y))
Step 2: Compute Partial Derivatives
∂ℒ/∂x = 0
∂ℒ/∂y = 0
∂ℒ/∂λ = 0
∂ℒ/∂y = 0
∂ℒ/∂λ = 0
Step 3: Solve the System of Equations
Solving the system of equations...
Step 4: Critical Points
Critical points will be displayed here
Step 5: Evaluate Objective Function
Function values at critical points
λ
Lagrange Multiplier
-
f
Optimal Value
-
Solution Summary
Enter functions to calculate
3D Visualization
3D graph will be displayed here when enabled
Note: 3D visualization requires WebGL support
Share this Tool
Help others discover this useful calculator
Support Our Work
If you find this tool helpful, consider supporting us with a donation