MONOTONICITY AND EXTREMA OF FUNCTIONS

Authors

  • Boboqulova Durdona Sanjar qizi First-year student of the Mathematics Department, Faculty of Pedagogy, Shahrisabz State Pedagogical Institute

Keywords:

Keywords: monotonicity, extrema, increasing function, decreasing function, local maximum, local minimum, critical point, derivative.

Abstract

Abstract: This paper explores the mathematical concepts of monotonicity and extrema of real-valued functions. These characteristics play a crucial role in the study of calculus, optimization, and mathematical modeling. The article introduces formal definitions, analytical tools such as derivatives to determine increasing or decreasing behavior, and conditions for identifying local and global extrema. Practical applications in economics, physics, and engineering are also discussed.

References

1. Stewart, J. (2016). Calculus: Early Transcendentals. Cengage Learning.

2. Thomas, G. B., & Finney, R. L. (2010). Calculus and Analytic Geometry. Pearson.

3. Spivak, M. (2008). Calculus. Cambridge University Press.

4. Khan Academy. Monotonic Functions and Extrema. [https://www.khanacademy.org]

5. Courant, R., & John, F. (1999). Introduction to Calculus and Analysis. Springer.

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Published

2025-11-01

How to Cite

Boboqulova Durdona Sanjar qizi. (2025). MONOTONICITY AND EXTREMA OF FUNCTIONS. INTEGRATION OF EDUCATION AND SCIENCE: GLOBAL CHALLENGES AND SOLUTIONS, 1(2), 378–380. Retrieved from https://worldconferences.us/index.php/iesg/article/view/460

Issue

Vol. 1 No. 2 (2025): INTEGRATION OF EDUCATION AND SCIENCE: GLOBAL CHALLENGES AND SOLUTIONS

Section

Articles