Two Geometric Views of Newton's Method

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 .

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.