ON A SEQUENCE OF DERIVATIVES OF FUNCTION


Keleş H.

BURSA 4th INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING, Bursa, Türkiye, 24 - 26 Ocak 2025, ss.101-110, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Bursa
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.101-110
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.