Using Determinants for Determining Extreme Values of a Function of One Variable, Two Variables and Three Variables
Keyword(s):
Finding the maximum and minimum values of a function is essential in high school math. However, Vietnamese high school students have only been taught how to find the extreme values of a function of 1 variable. Seeing the extreme values of a function of 2 and 3 variables is a difficult problem for students. Using the determinants, our aim in this paper is to show the necessary and sufficient conditions for a continuous and differentiable function (1 variable, two variables, and three variables) to reach its maximum over a specified domain. Furthermore, our method can be used to find the extremes of n-variable differentiable functions.
1996 ◽
Vol 18
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pp. 141-153
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1979 ◽
Vol 10
(3)
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pp. 139-144
1987 ◽
Vol 20
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pp. 51-61
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1999 ◽
Vol 15
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pp. 3-13
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2016 ◽
Vol 28
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pp. 123-135
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