Please teach me the code and explain it Thank you We conside

Please teach me the code and explain it. Thank you!

We consider the problem of computing the interpolating polynomial p_n for n + 1 given data points (x_0, y_0), (x_1, y_1), (x_2, y_2), ..., (x_n, y_n) with (a: =) x_0

Solution

Explaination :

divided_diff(x,y,n) computes the divided differences table based onthe n points with coordinates (x, y). Those divided differences are needed to construct the (n-1)th degree polynomial using Newton\'s interpolatory divided difference formula. n is the number of points, hence the interpolatory polynomial has a degree n-1. n is a point for which we want an approximation of f(n) based on the polynomial