Absolute Maximum/Minimum Values of Multivariable Functions

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Absolute Maximum/Minimum Values of Multivariable Functions - Part 1 of 2
To find absolute max/min values of a continuous function g on a closed bounded set D:

1. Evaluate f at the critical points of f in D.
2. Find the extreme values of f on the boundary of D.
3. Pick the largest and smallest.

Example:
Find the absolute maximum and minimum of:
f(x,y) = 3 + xy - x - 2y; D is the closed triangular region with vertices (1,0), (5,0), (1,4).

Absolute Maximum/Minimum Values of Multivariable Functions - Part 2 of 2

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