Talk:Hermite interpolation

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I think the error section could use an example, but I'm not confident that my example is correct. Here's my understanding of it:

Using the example above, this would be \frac{(c^8+1)^{(9)}}{9!}*\prod_{i=0}^2 (x-x_i)^{3}, where x is the number at which the function is approximated and c is between -1 and 1 (the lowest and highest x-values used to produce the approximation). This function's maximum for any x is the maximum error of the approximation at that x value.

Can somebody verify/correct this?