(Solved): The differentiable functions \( f \) and \( g \) are defined for all real numbers \( x \). Values o ...

The differentiable functions \( f \) and \( g \) are defined for all real numbers \( x \). Values of \( f_{r} f^{\prime}, g \), and \( g^{\prime} \) for various values of \( x \) are given in the table. (a) If \( h(x)=f(g(x)) \), find \( h^{\prime}(1) \). \[ h^{\prime}(1)= \] (b) If \( H(x)=g(f(x)) \), find \( H^{\prime}(2) \). \[ H^{\prime}(2)= \]