For ex. 10

(See solution here: https://www.chegg.com/homework-help/Numerical-Analysis-10th-edition-chapter-4.1-problem-10E-solution-9781305253667)

(i) Create two tables that extend the tables given by adding five more columns to each

(ii) The five new columns show the exact derivatives, the five-point results, the three-point results, the absolute errors of those

(iii) For the exact derivatives use the information about the functions given in Exercise 12ab

(iv) Calculate and display the error bounds provided by the theoretical error .

Use the formulas given in this section to determine, as accurately as possible, approximations for each missing entry in the following tables a.x 10. b. f(x) f) 1.05 |-1.709847 1.10 | -1.373823 1.15 |-1.1 19214 1.20 | -0.91 601 43 1.25 |-0.7470223 1.30 | -0.60 | 5966 -3.0 | 16.08554 -2.8 | 12.64465 -2.6 9.863738 2.4 7623176 -2.21 5.825013 2.0 4.389056 Use the formulas given in this section to determine, as accurately as possible, approximations for each missing entry in the following tables a.x 10. b. f(x) f) 1.05 |-1.709847 1.10 | -1.373823 1.15 |-1.1 19214 1.20 | -0.91 601 43 1.25 |-0.7470223 1.30 | -0.60 | 5966 -3.0 | 16.08554 -2.8 | 12.64465 -2.6 9.863738 2.4 7623176 -2.21 5.825013 2.0 4.389056