2. Write a MATLAB function, called Newtons_divided differences that inputs a set of data points (, ) (datx, daty), a set a of numbers at which to interpolate, and outputs the polynomial in- terpolant, y, evaluated at a using Newton's divided differences. Your function header should look something like: function y Newtons-divided-differences (x, datx, daty) = (a) Use the code you developed to interpolate the functions fi (z) = e using the data points datx=-3 : 1 : 3. Interpolate at the points x=-3 : O01: 3. Call P5 the obtained interpolant. Plot the results and comment on the error. (b) Compare your result with the one while interpolating with Lagrange_poly. Comment