Given programming (x0,y0), (x1,y1),., (xn,yn) and derivatives at each of these points y0',y1',., yn':

Given programming (x0,y0), (x1,y1),..., (xn,yn) and derivatives at each of these points y0',y1',..., yn': Write a program to find the interpolating polynomial (of degree 2n + 1), and to evaluate it on the given points x(eval).