TeX source:

\begin{array}{|c|c|c|c|c|c|c} \hline x & f(x) & g(x) & f^{\prime}(x) & g^{\prime}(x) & (f \circ g)(x) & \text { ( fog })^{\prime}(x) \\ \hline-2 & 2 & -1 & 1 & 1 & & \\ -1 & 1 & 2 & 0 & 2 & & \\ 0 & -2 & 1 & 2 & -1 & & \\ 1 & 0 & -2 & -1 & 2 & & \\ 2 & 1 & 0 & 1 & -1 & & \end{array}