Lecture 13: Lagrange multipliers

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Taught by OCW
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Lesson Description:

Learn about Lagrange multipliers, what they are, and how to use them.

Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 15, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.

Additional Resources:
Questions answered by this video:
  • How do you find the minimum and maximum values of a function of several variables when the variables are not independent?
  • What is a Lagrange multiplier and how do you find them?
  • How do you find the point closest to the origin on the hyperbola xy = 3?
  • How do you find where two level curves are tangent to each other?
  • How would you build a pyramid with a given triangular base and volume to minimize the total surface area?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video explains Lagrange multipliers, one of the more famous topics in Calculus, which carry over to problems in higher courses, such as Linear Algebra and Differential Equations. You will learn ways of minimizing values of a function, when all variables are not independent. A couple of interesting problems are carried to completion through almost the entire lecture.