Problem 2 Determine the 4th order Newton's divided-difference interpolating polynomial for the function below. Use x = 1, 4, 5, 6, 8. Find the f(x) value at x=7 and x=9. f(x) = ln(x) clear; clc; close all; Hint: we already solved for a third order polynomial. Now you just need to follow the pattern and create a 4th order. This means you will have 4 first divided differences, 3 second divided differences, 2 theird divided differences, and 1 fourth divided differences.

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