# New elementary formulas for any derivative of any rational function

**Authors:** Shahar Nevo, Irina Raichik  
**arXiv:** [2002.00809](https://arxiv.org/abs/2002.00809)  
**Date:** 2020-02-03  
**Summary page:** https://www.summarizepaper.com/en/paper/2002.00809v1/

## Key points

- Authors Shahar Nevo and Irina Raichik introduce explicit formulas for calculating the derivative of any order of a function of the form 1/p, where p is a polynomial with known zeros.
- The study focuses on functions that can be expressed as ratios involving polynomials, contributing to mathematical analysis.
- The authors aim to simplify and streamline the process of computing derivatives for such functions by providing elementary and completely explicit formulas.
- This research enhances understanding of rational functions and their derivatives, offering valuable insights for mathematicians and researchers in related fields.
- The 19-page paper comprehensively explores these new formulas, highlighting their applications and implications within the broader mathematical landscape.

## Summary

In their paper titled "New Elementary Formulas for Any Derivative of Any Rational Function," authors Shahar Nevo and Irina Raichik introduce explicit formulas for calculating the derivative of any order of a function of the form 1/p, where p is a polynomial with known zeros. The study delves into the realm of mathematical analysis, specifically focusing on functions that can be expressed as ratios involving polynomials. By providing these elementary and completely explicit formulas, the authors aim to simplify and streamline the process of computing derivatives for such functions. This research contributes to a better understanding of rational functions and their derivatives, offering valuable insights for mathematicians and researchers working in related fields. The 19-page paper presents a comprehensive exploration of these new formulas, shedding light on their applications and implications within the broader mathematical landscape.