Newton&'s Method

Starting with, Use the Newton-Raphson method to find a numerical approximation to the root.First, do the iteration one step at a time.Type each of the following commands in a separate cell and execute them one at a time.

From the second graph we see that there are two other real roots, use the starting values0.0and1.4to find them.
First, use the starting value .

Then use the starting value .

Compare our result with Mathematica's built in numerical root finder.

This can also be done with Mathematica's built in symbolic solve procedure.

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