\begin{equation}
f'(x) &\simeq \frac{-f(x+2h) + 8f(x+h) - 8f(x-h) + f(x-2h)}{12h} \\
f''(x) &\simeq \frac{-f(x+2h) + 16f(x+h) - 30f(x) + 16f(x-h) + f(x-2h)}{12h^2}
\end{equation}