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Newton's method

This interactive figure illustrates Newton's method up to a maximum of 3 iterations. Enter a function and an initial -value that you determine to be sufficiently close to a root (-intercept) of . 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 . This value will have pink color. Note: It will be imperative for you to zoom in along the way!
Developed for use with Thomas' Calculus, published by Pearson.