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Newton's Method: Cubic:

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Calculate 3 iterations of Newton's Method to approximate a zero of f(x). Use x1 = 3 as an initial estimate.

We will need . The calculations are best presented in tabular form. See if you can generate the first row, then follow the "Next" links to get confirmation and to try the next row, etc.

n

the approximation of the zero of the function from the previous iteration

cubic function for application of Newton's Method

the evaluation of the first derivative of the function for Newton's Method

the ratio of the function to its derivative, both calculated from the previous approximation

the new approximation of the zero of the function for the current iteration

1

3

 Next

 

 

 

2

 

 

 

 

 

3

 

 

 

 

 

4

 

 

 

 

 

If you find this page helpful and would recommend that I create more pages like this one, please let me know: Email to John Taylor

General Contents

Detailed Contents

Index