Excerpt from the Function of a Complex Variable

Authors

  • Dragan Obradovic Elementary School Teacher, Jovan Cvijic”, Kostolac-Pozarevac, Teacher of Mathematics, Serbia
  • Lakshmi Narayan Mishra Assistant Professor, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore, Tamil Nadu, India
  • Vishnu Narayan Mishra Professor, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh, India

Keywords:

Derivative function, derivative of the first order function, elementary functions, exponential function, functions

Abstract

The need to derive a function arose while trying to find a universal way to determine the tangent of a curve in geometry and velocity in mechanics. In mathematical analysis, in a branch of mathematics, a derivative is a measure of how (how fast) a function changes its values when its input values change. The derivative of the curve at a point represents the coefficient of the direction of the tangent of a given curve at that point. Derivations are a useful tool for examining graph functions. All points within the domain of real functions that represent local extremes have zero for the first derivative. However, not all critical points are local extremes; for example f(x) = x3 has a critical point at x = 0, but has neither a local maximum nor a local minimum at this point. 

References

J Colin. Analysis | mathematics. Encyclopedia Britannica. Accessed on July 2015.

D Adnadevic, Z Kadelburg. Mathematical Analysis, Books I and II, Faculty of Mathematics. Belgrade; 2008.

D Adnadševic, Z Kadelburg. Mathematics Analysis 1. Ninth Edition. Belgrade: Faculty of Mathematics; 2010.

S Kurepa. Mathematical Analysis 2. Zagreb: Tehnička knjiga; 1980.

M Mateljevic. Complex functions. Belgrade: Faculty of Mathematics; 2006.

M Matijevic. Complex functions. Faculty of Mathematics in Belgrade, Belgrade, 2006.

M Knezovic. Exponential function, seminar paper from the course Evaluation in Mathematical Education. Belgrade: (2016/2017).

M Nikic. Fundamentals of complex analysis. Belgrade: Naucna knjiga; 1990.

Đ Dugosija, Z Ivanovic. Trigonometry textbook with a collection of tasks for the 2nd grade of the Mathematical Gymnasium. Belgrade; 2006.

J Chipps. Position, Velocity, Acceleration. Available at: http://www.beyondcalculus.com/

derivatives/physics.html. (Accessed on Sep. 2015).

V Bogoslavov, Zbirka rešenih zadataka iz matematike 4, 44. ispravljeno izdanje, Zavod za ujbenike. Beograd; 2013.

G Milovanović, R Đorđević. Mathematical Analysis I. Available at: http://www.mi.sanu.ac.rs/

~gvm/Teze/MatematickaAnalizaI.pdf. (Accessed on Dec 2015).

D Adnađević, Z Kadelburg. Mathematical Analysis 1. Belgrade: Studentski trg; 1995.

Downloads

Published

2021-09-15

Issue

Vol. 10 No. 2 (2021)

Section

Review Article

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.