Using Relationships Given that $g(5)=-3,g^{\text{'}}(5)=6,h(5)=3,$ and $h^{\text{'}}(5)=-2,$ find $f^{\text{'}}(5)$ for each of the following, if possible. If it is not possible, state what additional information is required.

$($a$)f(x)=g(x)h(x)$

$($b$)f(x)=g(h(x))$

$($c$)f(x)=\frac{g(x)}{h(x)}$

$($d$)f(x)=[g(x){]}^3$