Formation of mathematical competence of students in the process of studying the topic "Derivative and its application": TEACHING METHODS OF MATHEMATICS AT SCHOOL AND UNIVERSITY

The article examines the process of forming students' mathematical competence during the study of the topic "Derivative and its application". Attention is focused on the integration of theoretical knowledge and practical problems, which allows students to realize the real meaning of the derivative in various fields of science and everyday life. The use of the practical focus of the mathematics course, modern technologies, interactive teaching methods and interdisciplinary approaches opens up new opportunities for engaging students and increasing their motivation to study. The article emphasizes the importance of applying real problems, project activities for the formation of key skills and critical thinking. The conclusion emphasizes the need for a comprehensive approach to education, which includes theoretical training, practical classes and the use of innovative methods, to achieve a high level of students' mathematical competence.