https://github.com/kolosovpetro/findingthederivativeofpolynomialsviadoublelimit

Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as change tends to zero. In particular, for polynomials the function's change is calculated via Binomial expansion.
https://github.com/kolosovpetro/findingthederivativeofpolynomialsviadoublelimit

binomial-theorem derivatives differential-equations math mathematics open-research open-science polynomials research research-project

Last synced: 9 days ago
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Differentiation is process of finding the derivative, or rate of change, of a function. Derivative itself is defined by the limit of function's change divided by the function's argument change as change tends to zero. In particular, for polynomials the function's change is calculated via Binomial expansion.

• Host: GitHub
• URL: https://github.com/kolosovpetro/findingthederivativeofpolynomialsviadoublelimit
• Owner: kolosovpetro
• License: gpl-3.0
• Created: 2024-01-26T12:49:27.000Z (12 months ago)
• Default Branch: main
• Last Pushed: 2024-09-25T14:30:09.000Z (4 months ago)
• Last Synced: 2024-11-15T17:44:28.782Z (2 months ago)
• Topics: binomial-theorem, derivatives, differential-equations, math, mathematics, open-research, open-science, polynomials, research, research-project
• Language: TeX
• Homepage: https://kolosovpetro.github.io/pdf/FindingTheDerivativeOfPolynomialsViaDoubleLimit.pdf
• Size: 1.98 MB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • Changelog: CHANGELOG.md
  • License: LICENSE

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README

        
# Finding the derivative of polynomials via double limit

## Abstract

Differentiation is process of finding the derivative, or rate of change, of a function.

Derivative itself is defined by the limit of function's change divided by the function's argument change

as change tends to zero.

In particular, for polynomials the function's change is calculated via Binomial expansion.

This manuscript provides another approach to reach polynomial's function change as a limit of certain polynomial identity,

and therefore expressing the derivative of polynomial as double limit.

## Build and run in Intellij IDEA

- Install `MikTeX`: https://miktex.org/download

- Update `MikTeX`

- Install `SumatraPDF` viewer: https://www.sumatrapdfreader.org/download-free-pdf-viewer

- Path to SumatraPDF: `C:\Program Files\SumatraPDF`

- Install `Intellij IDEA Ultimate`: https://www.jetbrains.com/idea/download/#section=windows

- Activate `Intellij IDEA Ultimate`

- Install `TeXiFy IDEA` plugin: https://plugins.jetbrains.com/plugin/9473-texify-idea

- Clone this repository locally: `https://github.com/kolosovpetro/github-latex-template.git`

- Open `github-latex-template` folder in `Intellij IDEA Ultimate` and configure as follows

    - LaTeX Configuration

      ![LaTeX Configuration](./img/latex_configuration.PNG "LaTeX Configuration")

    - BibTeX Configuration

      ![BibTeX Configuration](./img/bibtex_configuration.PNG "BibTeX Configuration")

- Configure Inverse Search in `Intellij IDEA` for SumatraPDF: `Tools -> LaTeX -> Configure Inverse Search`

- Compile document using `Shift + F10`