Abstract
The elements of the mathematical analysis course occupy a significant place in the school mathematics course. When teaching the elements of mathematical analysis, students acquire a mathematical apparatus that can be effectively used in solving many problems of mathematics, physics and engineering. The use of mathematical analysis methods makes it possible to solve a number of problems, the solution of which is impossible or difficult by elementary methods. Note that the possibilities of mathematical analysis methods are not limited to such tasks. Thus, the language of derivatives and integrals allows us to formulate many laws of nature strictly. In addition, the use of elements of mathematical analysis in solving problems of school mathematics allows you to learn more deeply the basic concepts of the theory being studied. But school textbooks and textbooks pay little attention to these issues. This article also examines the proof of identities using mathematical analysis methods. The article is relevant for specialists, teachers, students, students involved in school mathematics.
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