Algebraic Method to Find Extremum of Two-Variable Square Function

Main Article Content

Article Sidebar

Published Oct 2, 2023
Ali Otman

Abstract

This paper aims at presenting a simple method to find the extremum (extreme
values) of a two-variable square function. We introduce a generalized method of
finding the extremum of a one-variable square function at the outset. The proposed
method relies on square completion only. Therefore, it is a pure algebraic method.
The method can be used to teach advanced junior-high school pupils. One salient

advantage of this solution is that it helps us arrive at the partial derivatives of the
determinant of the Hessian (see [1]). Our proposal handles very well the case in
which the determinant of the Hessian equals zero. We get a necessary and
sufficient condition to determine whether the critical point is an extremum in this
case.

How to Cite

Otman, A. . (2023). Algebraic Method to Find Extremum of Two-Variable Square Function. Jami’a - Journal in Education and Social Sciences, 15. Retrieved from http://ojs.qsm.ac.il/index.php/jamiaa/article/view/300

Downloads

Download data is not yet available.
Abstract 49 | pdf (العربية) Downloads 25

Article Details

Section
Articles
Share |