Example: Newton's Method
The following example demonstrates how to use the Newton's method program.
Example
Find the roots of the function y = x3 - 4x2 - x + 4. Use an allowable error of .0001, a limit of 50 iterations, and initial guesses of -4, .5, and 10.
Procedure |
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| Enter the function. | [ LEARN ] { 1st } [ 2nd ] [ LBL ] [ 2nd ] f [ 2nd ] x [ ( ] [ RCL ] A [ yx ] 3 [ - ] 4 [ x ] [ RCL ] A [ x2 ] [ - ] [ RCL ] A [ + ] 4 [ ) ] [ 2nd ] [ RTN ] [ LEARN ] |
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| Select the program | [ RUN ] { MTH } { --> } { ZRO } { NTN } |
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| Enter the initial guess | 4 [ +/- ] { xo } |  |
| Enter the allowable error | .0001 { err } |  |
| Enter the number of iterations allowed. | 50 { #it } |  |
| Proceed with result | { EOD } |  |
| Enter the initial guess for a different root | { ESC } .5 { xo } |  |
| Proceed with result using previously entered allowable error and iterations | { EOD } |  |
| Enter the initial guess for a different root | { ESC } 10 { xo } |  |
| Proceed with result | { EOD } |  |
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