# Two Geometric Views of Newton's Method

Initializing live version

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The top plot shows the usual geometric picture of Newton's method for finding an approximate solution to . Starting with an initial guess, , move down the tangent until you hit the axis, then calculate a new tangent line and repeat times. The bottom plot is a cobweb plot for . This illustrates that Newton's method composes with itself times starting with .

Contributed by: Bruce Atwood (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

## Permanent Citation