I know how to interpolate using Vandermonde and obtain p(x) if the data points are given as something like p(-1)=1 p(0)=0 p(1)=1
But what if derivatives, p'(x) are given as data points additionally?
example data points: p(-1)=1 p'(-1)=2 p(0)=0 p'(0)=2 p''(0)=3
Honestly no idea how to do this