TeX source:

\begin{array}{l|c|c|c|c|c|c}\mathrm{x} & -2 & -1 & 0 & 1 & 2 & 3 \\\hline \mathrm{f}(\mathrm{x}) & 1 & -1 & -2 & -1 & 0 & 2 \\\hline \mathrm{f}^{\prime}(\mathrm{x}) & -1 & 0 & 1 & 2 & -1 & 1\end{array}