Chapter 3.2, Problem 20E

Differentiate the functions in Exercises $11-20$ using one or more of the differentiation rules discussed thus far.

Given $f(1)=1,f\text{'}(1)=5,g(1)=3,g\text{'}(1)=4,f\text{'}(3)=2$ and $g\text{'}(3)=6,$ compute the following derivatives:

$\frac{d}{dx}[g(g(x))]{|}_{x=1}$