The following table lists the values of functions $f$ and $g$, and of their derivatives, $f'$ and $g'$, for $x=-1$. $x$ | $f(x)$ | $g(x)$ | $f'(x)$ | $g'(x)$ :-: | :-: | :-: | :-: | :-: $-1$ | $3$ | $1$ | $4$ | $-2$ **Evaluate $\dfrac{d}{dx}\left[\dfrac{f(x)}{g(x)}\right]$ at $x=-1$.** [[☃ math-keypad 1]]