Question 6:\ Given the following data, compute

f^(')(5),f^(')(7)

, and

f^(')(9)

. Use finite-difference of

O(\\\\Delta x)

. Moreover, compare the results to the values obtained by finite-difference scheme of order

O(\\\\Delta x)^(2)

.\ \\\\table[[

x

,5,6,7,8,9],[

f(x)

,25,36,49,64,81]]

Given the following data, compute f(5),f(7), and f(9). Use finite-difference of O(x). Moreover, compare the results to the values obtained by finite-difference scheme of order O(x)2