Determine Hermite interpolation polynomial and evaluate the appropriate error
y:=f(x)
xi || -1 0 1 2
yi || 4 6 2 10
I found Hermite interpolation polynomial:
$H_3= \frac{7}{3}x^3-\frac{7}{3}x^2-x+9$
but I don't know how to find error cause I need fourth derivative of f(x), but when I find f(x) using data from table i get function which doesn't have fourth derivative