Suppose that $\displaystyle {F}$ and $\displaystyle {G}$ are functions defined as $\displaystyle {F}{\left({x}\right)}={f{{\left({x}^{{{8}}}\right)}}}$ and $\displaystyle {G}{\left({x}\right)}={\left({f{{\left({x}\right)}}}\right)}^{{{8}}}$. We also know that $\displaystyle {a}^{{{7}}}={10},{f{{\left({a}\right)}}}={2},{f}'{\left({a}\right)}={5}$, and $\displaystyle {f}'{\left({a}^{{{8}}}\right)}={2}$. Compute each of the following. Use exact values.


$\displaystyle {F}'{\left({a}\right)}=$   Preview Question 6 Part 1 of 2  

$\displaystyle {G}'{\left({a}\right)}=$   Preview Question 6 Part 2 of 2