Hey I need help with this question and any help will be appreciated. We have to use mathematica but I dont know how.

A polynomial pn(x) of degreenwhich agrees with a functionf(x)atn+1 pointsx0,...,xn. Another type of polynomial interpolation finds a degreenpolynomial Pn(x) so thatnderivatives ofP(x)agree with the corresponding derivatives off(x)at xo or

P(xo) = f(xo), P`(xo) = f`(xo), ... , P^(n)(xo) = f^(n)(xo).

1. Find an explicit formula for Pn(x) in terms of xo and f(xo), f`(xo), ... , f^(n)(xo).

2. Give an error bound for the difference between Pn(x) and f(x) in terms of (x - xo)^(n+1).

Help!