This Calculus 3 video explains saddle points and extrema for functions of two variables. We explain how to find critical points, and how to use the second derivative test for multivariable functions to classify the type of local extrema for each critical point (local maximum, local minimum, or saddle point). We work through a couple of different examples step by step.
0:00 Intro to local extrema in 3-D space
1:00 Critical Points
3:18 Example of finding critical points)
6:16 Introduction to Saddle Points
7:56 Second Derivative Test
11:17 2nd Derivative Test - Example 1
15:49 2nd Derivative Test - Example 2
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