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
