A note on Leibniz rule for difference quotient

TL;DR

This paper derives a Leibniz rule for the difference quotient, providing a mathematical tool for analyzing the product rule in discrete calculus.

Contribution

It introduces a novel Leibniz rule specifically tailored for the difference quotient, expanding discrete calculus methods.

Findings

Established a Leibniz rule for difference quotient

Enhanced understanding of product rule in discrete calculus

Potential applications in numerical analysis and difference equations

Abstract

In this note, we derive a Leibniz rule for difference quotient.