Absolute Maximum/Minimum Values of Multivariable Functions
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A series of free Calculus Video Lessons.
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
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
More Lessons for Calculus
Math Worksheets
A series of free Calculus Video Lessons.
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).
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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