To find local maxima and minima of a function, use the second derivative test and set the first order partial derivatives equal to 0.
A system of simultaneous equations can help simplify the problem.
The second derivative test is used to find local maxima and local minima of a multivariable function.
To use the second derivative test to find local maxima and local minima of a multivariable function, you need to find the critical points of the function and determine whether the second order partial derivative with respect to x is positive or negative at each critical point.
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This video tutorial works through math problems/equations that address topics in Calculus 3, Partial Derivatives. This specific tutorial addresses Local extrema and saddle points.
Length: 12 minutes
Copyright date: ©2013
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