INCREMENTS OF THE ARGUMENT AND FUNCTION. THE CONCEPT OF THE DERIVATIVE. RULES FOR CALCULATING DERIVATIVES

Abstract

This article discusses the increment of an argument and a function, the concept of the derivative, and the rules for calculating derivatives, which are among the fundamental concepts of mathematical analysis. The importance of the increments of the argument and the function in describing the process of function variation is highlighted. In addition, the basic rules for derivative calculation are explained, including the methods for finding the derivatives of sums, differences, products, quotients, and composite functions. This topic serves as an important theoretical foundation for the in-depth study of mathematical analysis and for solving practical problems.