# Differentiating polynomial sums, products, and compositions

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Differentiating polynomial sums, products, and compositions](https://ocme.evemisslab.com/en/atlas/atlas-derivative-rules/)

Four differentiation rules retain differentiability premises; this pulse evaluates them exactly for finite integer-coefficient polynomials.

atlas-derivative-rules · canonical_mko

[Differentiating polynomial sums, products, and compositions](https://ocme.evemisslab.com/en/mko/mko-derivative-rules/)

## Prerequisite nodes


- [Real derivatives at a point and finite difference quotients](https://ocme.evemisslab.com/en/atlas/atlas-derivative/)
- [Univariate polynomials over the rationals](https://ocme.evemisslab.com/en/atlas/atlas-polynomial/)
- [Function composition](https://ocme.evemisslab.com/en/atlas/atlas-composition/)