\(\bf \begin{cases}
f(5)=1\qquad &f'(5)=4
\\\\
g(5)=-9\qquad &g'(x)=5
\end{cases}
\\\\
\begin{cases}
(f\cdot g)'(5)\impliedby \textit{product rule}
\\\\
\left( \frac{f}{g} \right)'(5)\impliedby \textit{quotient rule}
\end{cases}\\\\
-----------------------------\\\\
(f\cdot g)'(5)\implies f(x)\cdot g(x)\implies
\begin{array}{llll}
f'(x)g(x)+f(x)g'(x)\\\\
x=5\\\\\
[4\cdot -9]+[1\cdot 5]
\end{array}
\\\\
-----------------------------\\\\\)
\(\bf \left( \frac{f}{g} \right)'(5)\implies
\begin{array}{llll}
\cfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\
x=5\\\\
\cfrac{[4\cdot -9]-[1\cdot 5]}{(-9)^2}
\end{array}\)