ON A SEQUENCE OF DERIVATIVES OF FUNCTION
BURSA 4th INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING, Bursa, Turkey, 24 - 26 January 2025, pp.101-110, (Full Text)
- Publication Type: Conference Paper / Full Text
- City: Bursa
- Country: Turkey
- Page Numbers: pp.101-110
- Karadeniz Technical University Affiliated: Yes
Abstract
This study is about th n order derivatives of any differentiable function. For n lN, if there exist all derivatives of f of order up to n , then we calculate f^(n)(x), where x and its antiderivative using integral calculus approach. The antiderivative (up to a constant) of a function of a single variable at a chosen input value is the main problem, since the double integral is not defined at functions of single variable. The calculation of sequential antiderivatives is the basis of the subject of this study. Our research here is carried out on the precalculated derivatives of a function. Some results are obtained for the antiderivative sequence like a sequence of derivatives. Shortly, the nth derivative of a function f is analyzed for all integers.