A Short Note on the Complex Conjugate for Derivatives

DOI

10.2991/apr.k.220503.015How to use a DOI?

Keywords

Complex Conjugate; Taylor Series; Derivatives; Short Note

Abstract

The complex conjugate approach could be used easily to solve derivatives analytically for some simple cases in calculus. These cases are common topics in calculus which are functions of trigonometry, hyperbole, exponential and logarithm. In general, the derivative obtained from the component v is rearranged from the result of the Taylor series expansion of the complex conjugate argument function ξ^*. The result of the Taylor series expansion gives the form u-iv where v is the imaginary component. The final result of the derivative using this approach always raises a coefficient of −1/α. Parameter α is the interval from which the function ξ is approximated to the function point or the position of the approximated point. If α tends to 1 or α→1, then the derivative result will be the same as the analytical completion. In addition, if it is observed from all cases that have been completed, the component u resulting from the Taylor series expansion is the original function or the function whose derivative is sought.

Copyright

© 2022 The Authors. Published by Atlantis Press International B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license.

Download article (PDF)

TY  - CONF
AU  - Abdul Manan
PY  - 2022
DA  - 2022/05/25
TI  - A Short Note on the Complex Conjugate for Derivatives
BT  - Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
PB  - Atlantis Press
SP  - 69
EP  - 73
SN  - 2352-541X
UR  - https://doi.org/10.2991/apr.k.220503.015
DO  - 10.2991/apr.k.220503.015
ID  - Manan2022
ER  -