This worksheet illustrates the Newton-Raphson iterative method for the function [math]f(x) = 2x - \cos(x)[/math].

[list=1] [*] Adjust the position of the [color=#0000ff]blue[/color] point representing the initial estimate [color=#0000ff][math]x_0[/math][/color] and see what happens to the next two estimates [color=#6600cc][math]x_1[/math][/color] and [color=#ff0000][math]x_2[/math][/color]. [/list]