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РецензированоEN2025

GEOMETRIC AND PHYSICAL MEANING OF THE DERIVATIVE

Azam Makhmudov (Teacher of mathematics at the Terdu Academic Lyceum.) · Bekzod Mamaraimov (Teacher of mathematics at the Terdu Academic Lyceum.) · Maruf Musurmonov (Teacher of mathematics at the Terdu Academic Lyceum.)

Наука и инновации в системе образования · 143-148 · 2025

Аннотация

This article provides a detailed explanation of the geometric and physical meaning of the concept of derivative. From a geometric point of view, the derivative is interpreted as a gradient that determines the direction of the tangent line at each point of the curve. In physics, the derivative is often used to express quantities such as motion, velocity, and acceleration. The article reveals the importance of the derivative through real-life examples along with theoretical concepts. It also discusses the practical application of the derivative and what methods can be effective in explaining it to students in education.

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«This article provides a detailed explanation of the geometric and physical meaning of the concept of derivative.»

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This article provides a detailed explanation of the geometric and physical meaning of the concept of derivative. Полный текст публикации CiteX не хранит — доступ к первоисточнику открывается по DOI согласно лицензии издателя и выбранному плану.

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Узбекистан
Ключевые слова
Derivative, tangent, gradient, velocity, acceleration, physical meaning, geometric interpretation, differential, curve, analysis.
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