# Newton method for root finding

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)



## [Newton method for root finding](https://ocme.evemisslab.com/en/atlas/atlas-newton-method/)

At a qualified point with nonzero derivative, Newton method moves to the tangent-line zero x−f(x)/f_prime(x); convergence requires separate local hypotheses.

atlas-newton-method · canonical_mko

[Newton method for root finding](https://ocme.evemisslab.com/en/mko/mko-newton-method/)

## Prerequisite nodes


- [Real derivatives at a point and finite difference quotients](https://ocme.evemisslab.com/en/atlas/atlas-derivative/)
- [Numerical approximation and error](https://ocme.evemisslab.com/en/atlas/atlas-numerical-approximation-error/)
- [Algorithm correctness](https://ocme.evemisslab.com/en/atlas/atlas-algorithm-correctness/)
- [Equation](https://ocme.evemisslab.com/en/atlas/atlas-equation/)
- [Sequence](https://ocme.evemisslab.com/en/atlas/atlas-sequence/)
- [Differentiating polynomial sums, products, and compositions](https://ocme.evemisslab.com/en/atlas/atlas-derivative-rules/)