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Spreadsheet Calculus: Newton's Method

Step 2Let's find the roots!

Let\
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Polynomials work really well for this. Finding their derivatives is easy, and if they're large polynomials, there's no other way to get an accurate estimate of the zeroes.
First things first, graph your function. You can use a spreadsheet program, your calculator, whatever works for you. Make a rough estimate as to where the zeroes are. Looking at the graph below, I'm going to estimate that there are zeroes at -2, -1.2, 1.2, and 3. Let's see how accurate my guess is.
Now's a good time to open up your spreadsheet program.
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Author:eric4435