Названия:
DERIVATIVE DEFINITION, PHYSICAL, GEOMETRIC AND ECONOMIC MEANING
Автор:
Bahar Jepbarova Charyyevna, Orazbibi Ovediyeva
Расположение страниц:
73-78
Язык:
Английский
Аннотация:
The article examines the derivative as a fundamental concept of calculus, focusing on its formal mathematical definition and its physical, geometric, and economic interpretations. Modern science and engineering rely heavily on differential analysis, which allows the study of dynamic systems, rates of change, local behavior of functions, and optimization problems under varying conditions. The derivative is presented as a universal tool for describing instantaneous velocity, deformation, flow of physical quantities, marginal reactions in economic systems, and local geometric properties of curves. The article emphasizes the interdisciplinary significance of the derivative and analyzes the role it plays in physics, geometry, economics, and applied sciences.