Chapter 3.2, Problem 59E

If $f(x)$ and $g(x)$ are differentiable functions, such that $f(1)=2$, $f\text{'}(1)=3$, $f\text{'}(5)=4$, $g(1)=5$, $g\text{'}(1)=6$, $g\text{'}(2)=7$ and $g\text{'}(5)=8$, find $\frac{d}{dx}f(g(x)){|}_{x=1}$