Lagrange Multipliers Solver

Optimize functions under constraints with ease. Enter your objective function, constraint, and variables to find optimal solutions.

Input Functions

Objective Function (f(x, y, ...))

Enter the function you wish to optimize.

Constraint Function (g(x, y, ...) = c)

Specify the constraint equation.

Variables (x, y, ...)

List the variables involved, separated by commas.

Optimal Points:

Visualization

Visualization is not available for this tool yet. Stay tuned!

About Lagrange Multipliers

Lagrange multipliers are a method for finding the local maxima and minima of a function of several variables subject to one or more constraints. This technique is particularly useful in optimization problems where you need to maximize or minimize a function under certain conditions.

How to Use This Tool:

Enter your objective function (the function you want to optimize). For example: x*y.
Enter the constraint function in the form g(x, y, ...) = c. For example: x^2 + y^2 = 1.
List all variables involved in your functions, separated by commas. For example: x, y.
Click 'Calculate' to find the optimal points.
The 'Optimal Points' section will display the points that maximize or minimize your objective function under the given constraint.
Use the 'Copy' button to copy the results for your records.

This tool uses numerical methods to solve Lagrange multiplier equations. Ensure your input functions are correctly formatted for accurate results.