THIS NEEDS TO BE CODED USING PYTHON PROGRAMMING. A CODE WHICH YOU CAN RUN ON COMPILER AND ALSO GIVES THE ANSWER FOR THE QUESTION BELOW. I WASN'T ABLE TO RUN ANY OF THE CODES I GOT SO FAR ON A COMPILER. PLEASE LET ME KNOW A WAY TO CONTACT AND GET SOME CLARITY ON THE QUESTION. I CANT USE THE COMMENTS SOMEHOW. Using the table of values of the function y(x) at points xi, i=0,1,2,3,4 construct a Newton interpolation polynomial to calculate numerically the first and second derivatives of the function at the point x*, calculate the value of the interpolation error at point x* of the derivatives:

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y=arccos(x)+x

xi = -0.7, -0.4, -0.1, 0.2, 0.5

x* = 0.2