video thumbnail 11:36
Warm up to the second partial derivative test

2016-06-22

[public] 55.0K views, 976 likes, dislikes audio only

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/multivariable-calculus/applications-of-multivariable-derivatives/optimizing-multivariable-functions-videos/v/warm-up-to-the-second-partial-derivative-test

An example of looking for local minima in a multivariable function by finding where tangent planes are flat, along with some of the intuitions that will underly the second partial derivative test.


The Second a Partial Derivative Test
/youtube/video/nRJM4mY-Pq0?t=143.799
The Partial Derivative with Respect to X
/youtube/video/nRJM4mY-Pq0?t=210.78999
Solution to the System of Equations
/youtube/video/nRJM4mY-Pq0?t=318.85999