Elementar həndəsədə optimallaşdırma məsələləri və onların funksional metodla araşdırılması

Abstract

In the study of extremes in elementary geometry, the functional method is mainly used. To do this, an independent variable (argument) is first selected and the geometric process is described as a function depending on this argument. Then elements of differential calculus are used. Thus, with the help of derivatives, the properties of functions are investigated-their stability, monotonicity, the points of its extremes, the largest and smallest values. Practically, textbooks and textbooks on elementary mathematics pay little attention to these issues. Therefore, in this article, the solution of the problems of extremum geometry was studied using derivatives in theoretical and practical aspects. The article is relevant for specialists, teachers, students and schoolchildren engaged in elementary mathematics.