Diagrams show Derivatives of Inverse Function in Two Forms

Volume 8, Issue 5, October 2023     |     PP. 175-177      |     PDF (1183 K)    |     Pub. Date: November 27, 2023
DOI: 10.54647/mathematics110437    67 Downloads     66875 Views  

Author(s)

Guojun Fang, Fuzhou Medical College of Nanchang University, Fuzhou, China
Zhiqing Fu, Fuzhou Medical College of Nanchang University, Fuzhou, China

Abstract
In the calculus class, some students were confused by the expression of Inverse Function in two forms, which causes difficulties in understanding how to calculate the derivative of Inverse Function. It was because they were taught to denote independent variable only by using x in high school. In order to help them understand the problem well, I show the inverse function in two forms with diagrams and the reciprocal relationship between their derivatives.

Keywords
Inverse Function; Derivative; Calculus;Invertible; Diagram

Cite this paper
Guojun Fang, Zhiqing Fu, Diagrams show Derivatives of Inverse Function in Two Forms , SCIREA Journal of Mathematics. Volume 8, Issue 5, October 2023 | PP. 175-177. 10.54647/mathematics110437

References

[ 1 ] HUA LOOKENG. An Introduction of Higher Mathematics (Volume 1). Beijing, China: HIGHER EDUCATION PRESS.816 pp. 2016
[ 2 ] GILBERT STRANG, EDWIN” JED” HERMAN. Calculus (Volume 1). OpenStax.865 pp. 2016