Article

METHODS OF LOCAL INVESTIGATION OF FUNCTIONS

Dilorom O'ktamovna XolnazarovaTermez State University Faculty of Physics and Mathematics Mathematics Department 2nd year student

Zenodo (CERN European Organization for Nuclear Research)repository2026en

ABI

Abstract

This article discusses the theoretical foundations of methods for the local investigation of functions. Special attention is given to the role of derivatives, continuity, extrema, monotonicity, concavity, and inflection points in the analysis of functions. The article also explains the practical importance of local investigation methods in mathematical analysis and their applications in science, engineering, economics, and technology. Furthermore, the relationship between graphical interpretation and analytical investigation of functions is described.

Topics

Analytic and geometric function theory Advanced Banach Space Theory Iterative Methods for Nonlinear Equations

Identifiers

DOI: 10.5281/zenodo.20525175

Citations and references

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