Lagrange Multipliers

Related Pages
More Lessons for Engineering Mathematics
Math Worksheets

Lagrange multipliers
Extreme values of a function subject to a constraint
Discuss and solve an example where the points on an ellipse are sought that maximize and minimize the function f(x,y) := xy. The method of solution involves an application of Lagrange multipliers. Such an example is seen in 1st and 2nd year university mathematics.

Lagrange multiplier example
Minimizing a function subject to a constraint
Discuss and solve a simple problem through the method of Lagrange multipliers. A function is required to be minimized subject to a constraint equation. Such an example is seen in 2nd-year university mathematics.

Multivariable Calculus: Directional derivative of f(x,y)
Present an example to calculate the derivative of a function of two variables in a particular direction. Take the derivative of f(x,y) := 1 - x²/2 - y⁴/4 in the direction of the vector u := (1,1). Solve the problem and discuss about the geometric meaning of the directional derivative.

Lagrange multipliers example
This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.