Chapter 7
Newton's Method for Solving equations
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In this example, we'll see how Newton's Method works
for most functions.
Directions:
Click anywhere along the x-axis to give a first approximation. Subsequent
clicks near the x-axis restart the process, while leaving the previous
process on the picture. The approximation process stops when two successive
approximations differ (in absolute value) by less than .0001
Clicking on the "step" button allows you to view the Newton's Method
on step at a time. The applet will plot one step every time that you click
on the button.
Clicking on the "run" button will cause the applet to run
with a short pause between each iteration. The applet is initially in 'run'
mode.
Below is the graph of y = x3 - x,
use Newton's method to estimate the roots of the polynomial.
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