Скачать или смотреть Local & Global Extrema in: Multivariable Calculus, Intro, Series Part 5

Where are the peaks, valleys, and flat spots on a surface? In this video, Prof. Happy Strawberry from the F.I.T. Department of Mathematics explores how to find local and global extrema of multivariable functions : a key step in understanding optimization.

You’ll learn:

How to find critical points of functions of two variables

The difference between local extrema, global extrema, and saddle points

How to use the second derivative test with the Hessian determinant

Conditions for absolute extrema on closed and bounded regions

Applications to optimization problems in physics, economics, and engineering

From theory to real-world examples, Prof. Strawberry walks you through how to locate and classify key points on multivariable surfaces and when to worry about boundaries.