This interactive figure illustrates Newton's method up to a maximum of 3 iterations. [br][br]Enter a function [math]f[/math] and an initial [math]x[/math]-value that you determine to be sufficiently close to a root ([math]x[/math]-intercept) of [math]f[/math]. Then, keep selecting the gray button to dynamically illustrate Newton's method, step-by-step. The last step of this interactive applet yields an approximate value of [math]x_3[/math]. [color=#ff00ff][b]This value will have pink color[/b][/color]. [br][br]Note: It will be imperative for you to zoom in along the way!

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]