Year: 2025
Type: article
Abstract: : In this paper, based on Riemann-Stieltjes integral, we study a new type of derivative. Some important properties of this new type of derivative is obtained, including derivative of inverse function, first derivative test, second derivative test, test of concavity, and L'Hôpital's rule. In fact, our results are generalizations of the results in classical differential calculus. Keywords: Riemann-Stieltjes integral, new type of derivative, derivative of inverse function, first derivative test, second derivative test, test of concavity, L'Hôpital's rule. Title: Some Important Properties of a New Type of Derivative Author: Chii-Huei Yu International Journal of Mathematics and Physical Sciences Research ISSN 2348-5736 (Online) Vol. 12, Issue 2, October 2024 - March 2025 Page No: 54-58 Research Publish Journals Website: www.researchpublish.com Published Date: 03-February-2025 DOI: https://doi.org/10.5281/zenodo.14793835 Paper Download Link (Source) https://www.researchpublish.com/papers/some-important-properties-of-a-new-type-of-derivative
Author: Chii-Huei Yu
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949616197
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