Derivation Techniques in Mathematical Analysis

Abstract

Derivation, a fundamental process in mathematical analysis, plays a pivotal role in various mathematical disciplines, including calculus, differential equations, and optimization. This paper provides a comprehensive review of derivation techniques, elucidating their theoretical foundations, applications, and methodologies. Beginning with the fundamental principles of differentiation in calculus, the paper explores advanced techniques such as implicit differentiation, partial differentiation, and variational calculus. Additionally, it discusses the applications of derivatives in diverse fields, including physics, engineering, economics, and biology.

Cite as:

A. D. Awasare. (2024). Derivation Techniques in Mathematical Analysis. Journal of Applied Mathematics and Statistical Analysis, 5(1), 1–5. https://doi.org/10.5281/zenodo.10877430