x 0 0.5 1 1.5 2 2.5 3y -1 -0.875 0 2.375 7 14.625 26

0 0.5 1 1.5 2 2.5 3 3.5-5

0

5

10

15

20

25

30

f(x)

Metoda coardeiiter a b c fa fb fc

1 0.5 1.5 0.76923 -0.875 2.375 -0.544832 0.76923 1.5 0.90559 -0.544834 2.375 -0.257333 0.90559 1.5 0.9637 -0.25733 2.375 -0.1054 0.9637 1.5 0.9864 -0.104999 2.375 -0.040235 0.9864 1.5 0.99496 -0.040234 2.375 -0.015046 0.99496 1.5 0.99814 -0.015043 2.375 -0.005577 0.99814 1.5 0.99931 -0.005572 2.375 -0.002068 0.99931 1.5 0.99975 -0.002057 2.375 -0.00076

Metoda tangentei aproximativeiter a b c fa fb fc

1 0.5 1.5 0.76923 -0.875 2.375 -0.544832 0.76923 0.5 1.21351 -0.544834 -0.875 0.7870243 1.21351 0.769231 0.95098 0.787024 -0.54483 -0.139984 0.95098 0.769231 1.01382 -0.13998 -0.54483 0.0420215 1.01382 0.950976 0.99931 0.042021 -0.13998 -0.002086 0.99931 1.013815 1 -0.002078 0.042021 -3E-005

Metoda Newton-Raphson Metoda Halleyiter x f' f x f' f'' f

0 2 12 7 2 12 12 71 1.41667 6.020833 1.84317 1.176471 4.152249 7.058824 0.6283332 1.11053 3.69986 0.36961 1.00281 3.016883 6.01686 0.0084543 1.01064 3.06416 0.03225 1 3 6 4.42E-0084 1.00011 3.000669 0.00033 1 3 6 0