Using Determinants for Determining Extreme Values of a Function of One Variable, Two Variables and Three Variables | Zendy

Pham Ngoc Thinh | Zendy

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Using Determinants for Determining Extreme Values of a Function of One Variable, Two Variables and Three Variables

Author(s) -

Pham Ngoc Thinh

Publication year - 2021

Publication title -

ra journal of applied research

Language(s) - English

Resource type - Journals

ISSN - 2394-6709

DOI - 10.47191/rajar/v7i12.17

Subject(s) - differentiable function , variable (mathematics) , mathematics , extreme value theory , variables , function (biology) , vietnamese , domain (mathematical analysis) , statistics , mathematical analysis , linguistics , philosophy , evolutionary biology , biology

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.

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