Open AccessUsing Determinants for Determining Extreme Values of a Function of One Variable, Two Variables and Three Variables
Author(s) -
Pham Ngoc Thinh,
AUTHOR_ID
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 , function (biology) , variables , 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.