USE MANUAL CALCULATION AND NO PLAGIARISM

Given the following data:

a. Calculate f'(3,22) using the forward, backward, and central finite difference method with order O(h^2) b. Calculate f'(4,15) using the forward, backward, and central finite difference method with order O(h^2) c. Explain your answer

\begin{tabular}{|c|c|c|c|c|c|} \hline x & 1,87 & 1,92 & 2,01 & 2,21 & 2,54 \\ \hline f(x) & 0,76577 & 0,82211 & 0,84344 & 0,86342 & 0,90013 \\ \hline \end{tabular}