Make the divided difference By using Newton's divided difference in Matlab. Guideline

1 - Program print tables in the form of triangular shape from left to right

2 - As an input program will take x0 and x and function f(x) to be interpolated and range of x values I.e. x-data.

3 - Depends on the method and location of x0 your Matlab program should highlight by color or rectangles the entries of the table that you are using in the interpolation.

4 - Compute the interpolated value and error.

5 - Program should be general to take x0 at any location within the data table.