What is the degree of the interpolating polynomial?

[Saffire]

Homework Statement

Given points (x0,y0), (x1, y1)...(xn,yn) and derivatives at each of these points y'0, y'1...y'n : Write a program to find the interpolating polynomial (of degree 2n+1) and to evaluate it on given points xeval.

My question is what type of interpolation is this? I'm not quite sure where to get started, if that could be answered that would be wonderful.

Thanks!

 

[lanedance]

write an equation for an arbitrary polynomial of degree 2n+1,

think about the varibales in the equation of the polynomial & how to satisfy the given requriements (ie go through the given points, with given derivative)

how many unknowns & equations do you have?