4
x^3+3*x^2+5 toleransi 0.00001 iterasi x f(x) f(x)' keterangan metode Newton Ralp 1 2 25 24 2 0.958333 8.635344 8.505208 lanjut 3 -0.05697 5.009551 -0.33207 lanjut x fx fx' 4 15.02892 4077.168 767.7793 lanjut 5 29.04108 10.28366 5 9.718587 1206.282 341.6643 lanjut 2.175999 3.341372 3.783069 6 6.18798 356.8178 152.0012 lanjut 1.292755 1.411549 2.859983 7 3.840512 105.8944 67.29168 lanjut 0.799203 0.456941 2.295685 8 2.26685 32.06428 29.01693 lanjut 0.60016 0.080659 2.025565 9 1.16183 10.61784 11.02053 lanjut 0.560339 0.00609 1.967754 10 0.19837 5.125857 1.308269 lanjut 0.557245 0.000306 1.963205 11 -3.71968 -4.95741 19.1899 lanjut 0.557089 1.47E-05 1.962976 12 -3.46134 -0.52727 15.17459 lanjut 0.557081 7.08E-07 1.962964 13 -3.42659 -0.00887 14.66508 lanjut 0.557081 3.4E-08 1.962964 14 -3.42599 -2.7E-06 14.65627 lanjut 0.557081 1.64E-09 1.962964 15 -3.42599 -2.4E-13 14.65626 selesai 0.557081 7.86E-11 1.962964 16 -3.42599 0 14.65626 selesai 0.557081 3.78E-12 1.962964 17 -3.42599 0 14.65626 selesai 0.557081 1.82E-13 1.962964 18 -3.42599 0 14.65626 selesai 0.557081 8.88E-15 1.962964 0.557081 0 1.962964 0.557081 0 1.962964 0.557081 0 1.962964 0.557081 0 1.962964 0.557081 0 1.962964

Metode Newton Ralphson dan Metode Secant

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Page 1: Metode Newton Ralphson dan Metode Secant

x^3+3*x^2+5 toleransi 0.00001iterasi x f(x) f(x)' keterangan metode Newton Ralpson

1 2 25 242 0.958333 8.635344 8.505208 lanjut3 -0.056967 5.009551 -0.332069 lanjut x fx fx' ket4 15.02892 4077.168 767.7793 lanjut 5 29.04108 10.283665 9.718587 1206.282 341.6643 lanjut 2.175999 3.341372 3.783069 lanjut6 6.18798 356.8178 152.0012 lanjut 1.292755 1.411549 2.859983 lanjut7 3.840512 105.8944 67.29168 lanjut 0.799203 0.456941 2.295685 lanjut8 2.26685 32.06428 29.01693 lanjut 0.60016 0.080659 2.025565 lanjut9 1.16183 10.61784 11.02053 lanjut 0.560339 0.00609 1.967754 lanjut

10 0.19837 5.125857 1.308269 lanjut 0.557245 0.000306 1.963205 lanjut11 -3.719675 -4.957412 19.1899 lanjut 0.557089 1.473E-05 1.962976 lanjut12 -3.461341 -0.527266 15.17459 lanjut 0.557081 7.082E-07 1.962964 selesai13 -3.426594 -0.008873 14.66508 lanjut 0.557081 3.403E-08 1.962964 selesai14 -3.425989 -2.66E-06 14.65627 lanjut 0.557081 1.636E-09 1.962964 selesai15 -3.425989 -2.42E-13 14.65626 selesai 0.557081 7.861E-11 1.962964 selesai16 -3.425989 0 14.65626 selesai 0.557081 3.778E-12 1.962964 selesai17 -3.425989 0 14.65626 selesai 0.557081 1.816E-13 1.962964 selesai18 -3.425989 0 14.65626 selesai 0.557081 8.882E-15 1.962964 selesai

0.557081 0 1.962964 selesai0.557081 0 1.962964 selesai0.557081 0 1.962964 selesai0.557081 0 1.962964 selesai0.557081 0 1.962964 selesai

Page 2: Metode Newton Ralphson dan Metode Secant

1E-10metode Secantiterasi x f(x) keterangan

1 3 592 2 25 x fx ket3 1.264706 11.82132 lanjut 3 -14 0.605145 6.320206 lanjut 2.9 -1.195 -0.152622 5.066325 lanjut 3.526316 0.32964 lanjut6 -3.214393 2.784822 lanjut 3.390456 -0.066633 lanjut7 -6.951616 -185.9617 lanjut 3.4133 -0.002582 lanjut8 -3.269533 2.118732 lanjut 3.414221 2.188E-05 lanjut9 -3.311012 1.590439 lanjut 3.414214 -7.07E-09 lanjut

10 -3.435885 -0.145751 lanjut 3.414214 -1.95E-14 lanjut11 -3.425402 0.008601 lanjut 3.414214 0 selesai12 -3.425986 4.214E-05 lanjut 3.414214 -1.95E-14 selesai13 -3.425989 -1.23E-08 selesai 3.414214 6.548845 selesai14 -3.425989 2.132E-14 selesai 3.414214 6.548845 selesai15 -3.425989 0 selesai #DIV/0! #DIV/0! #DIV/0!16 -3.425989 2.132E-14 selesai #DIV/0! #DIV/0! #DIV/0!

#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0!

0

Page 3: Metode Newton Ralphson dan Metode Secant

0.00001

x fx ket2 2

1.9 1.621.473684 0.448753 lanjut1.310345 0.192628 lanjut

1.1875 0.070313 lanjut1.116883 0.027323 lanjut

1.072 0.010368 lanjut1.044554 0.00397 lanjut1.027523 0.001515 lanjut1.017013 0.000579 lanjut1.010514 0.000221 lanjut1.006498 8.445E-05 lanjut1.004016 3.226E-05 lanjut1.002482 1.232E-05 lanjut1.001534 4.706E-06 lanjut1.000948 1.798E-06 lanjut1.000586 6.866E-07 lanjut1.000362 2.623E-07 lanjut1.000224 1E-07 lanjut1.000138 3.827E-08 lanjut1.000085 1.462E-08 lanjut1.000053 5.583E-09 lanjut1.000033 2.132E-09

Page 4: Metode Newton Ralphson dan Metode Secant

x fx ket3 -1

2.9 -1.193.526316 0.32964 lanjut3.390456 -0.066633 lanjut

3.4133 -0.002582 lanjut3.414221 2.188E-05 lanjut3.414214 -7.07E-09 lanjut3.414214 -1.95E-14 lanjut3.414214 0 lanjut3.414214 -1.95E-14 lanjut3.414214 6.548845 lanjut3.414214 6.548845 lanjut