Chapter 3.1, Problem 59E

To determine

To calculate: The derivative $\frac{d}{dx}{\left[{\left(f\left(x\right)\right)}^2\right]|}_{x=2}$ using $f\left(2\right)=f\text{'}\left(2\right)=3,g\left(2\right)=3$ and $g\text{'}\left(2\right)=\frac{1}{3}$.