Optimizing multivariable functions

Maxima, minima, saddle points, and how to identify them using the second partial derivative test.

Multivariable maxima and minima

Find critical points of multivariable functions

Saddle points

Visual zero gradient

Warm up to the second partial derivative test

Second partial derivative test

Second partial derivative test intuition

Second partial derivative test example, part 1

Second partial derivative test example, part 2

Classifying critical points