A table of values for $f,g,f',$ and $g'$ is given below:
$$\begin{array}{|c|c|c|c|c|} \hline x & f(x) & g(x) & f'(x) & g'(x) \\ \hline 1 & 3 & 2 & 4 & 6\\ 2 & 1 & 8 & 5 & 7\\ 3 & 7 & 2 & 7 & 9\\ \hline \end{array}$$
(a) If $h(x)=f(g(x))$, find $h'(1)$.
(b) If $H(x)=g(f(x))$, find $H'(1)$.

(a) $h'(1) =$
(b) $H'(1) =$