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X F(x) Xa Xb Xr1 51.1444035 12 16 14

2 44.9205862 14 16 15

3 39.2634288 14 15 14.5

4 34.1148894 14.5 15 14.75

5 29.4232677 14.75 15 14.875

6 25.1424831 14.75 14.875 14.8125

7 21.2314376 14.75 14.8125 14.78125

8 17.6534526

9 14.3757721

10 11.369122811 8.60732511

12 6.06694996

13 3.72701387

14 1.56870973

15 -0.42483189

16 -2.26875421

17 -3.97666178

F(x)=exp(-x)-x

F'(x)=-exp(-x)-1

i Xi F(xi) F'(Xi) Er

0 0 1 -2

1 0.5 0.10653066 -1.60653066 100.000%

2 0.566311 0.00130451 -1.56761551 11.709%

3 0.56714317 1.96480E-007 -1.56714336 0.147%

4 0.56714329 4.44089E-015 -1.56714329 0.000%

Hallar la raz de: f(x)=exp(-x)-Ln(xsi la derivada es: f'(x)=-exp(-x)-1/xSi %Er

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i Xi F(Xi) F'(Xi) %Er Error Abso!"o0 1 0.367879441 -1.36787944

1 1.26894142 0.042946035 -1.0691875 21.1942% 0.2689414214

2 1.3091084 0.000714437 -1.03393942 3.0683% 0.0401669819

3 1.30979939 2.03710E-007 -1.03334989 0.0528% 0.0006909854

i Xi F(Xi) %Er Error Abs

0 0 1.0000

1 1 -0.6321

2 0.61270 0.0743 63.212% 0.387300163 0.65344 -0.0010 6.235% 0.0407423

4 0.65292 0.0000 0.080% 0.00052487

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F(Xa) F(Xb) F(Xr) F(Xa)#F(Xr) $E&$& Er6.06694996 -2.26875421 1.56870973 9.51728341 *E&+

1.56870973 -2.26875421 -0.42483189 -0.66643791 &,FE&+ 6.6667%

1.56870973 -0.42483189 0.55232821 0.86644263*E&+ 3.4483%

0.55232821 -0.42483189 0.05896283 0.03256684*E&+ 1.6949%

0.05896283 -0.42483189 -0.18411653 -0.01085603 &,FE&+ 0.8403%

0.05896283 -0.18411653 -0.06287413 -0.00370724 &,FE&+ 0.4219%

0.05896283 -0.06287413 -0.00203019 -0.00011971 &,FE&+ 0.2114%

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Error abso!"o

1.000000

0.500000

0.250000

0.125000

0.062500

0.031250

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