Застосування похідної в аналізі фізичних процесів

Abstract

This paper explores the application of derivatives in the analysis of physical processes such as mechanical motion, heat transfer, electrical phenomena, and wave propagation. Derivatives enable the quantitative evaluation of changes in physical quantities, help to identify maxima, minima, and inflection points of functions describing processes. The paper includes examples of mathematical modeling of body motion, Newton’s law of cooling, electromagnetic induction, and wave processes. The importance of derivatives in the formulation of physical differential equations is highlighted.