Absolute Maximum and Minimum Values of Multivariable Functions (Part 1)
patrickJMT patrickJMT
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 Published On Oct 28, 2010

Finding Absolute Maximum and Minimum Values of Multivariable Functions

In this video, I explain how to find the absolute maximum and minimum values of multivariable functions on a closed, bounded set. You'll learn the step-by-step process, including evaluating the function at critical points and on the boundary of the region.

What You Will Learn:

How to evaluate a multivariable function at its critical points.

How to find the extreme values on the boundary of a region.

A full example of finding the absolute max/min of f(x,y)=3+xy−x−2y over a triangular region.

A visual approach to identifying the largest and smallest values of a multivariable function.

Techniques for solving absolute max/min problems in calculus.

This video is perfect for students learning multivariable calculus and those looking to master optimization techniques.

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