Let $F(x)= f(f(x))$ and $G(x)=(F(x))^{2}$ and suppose that

$$f(4)=10, \quad f(10)=2, \quad f'(10)=15, \quad f'(4)=13$$
Find $F'(4)$ and $G'(4)$.

$F'(4)=$
$G'(4)=$