If $y = \begin{vmatrix} f(x) & g(x) & h(x) \\ 1 & m & n \\ a & b & c \end{vmatrix}$, $\frac{dy}{dx}$ is equal to
$\begin{vmatrix} f'(x) & 1 & a \\ g'(x) & m & b \\ h'(x) & n & c \end{vmatrix}$
$\begin{vmatrix} a & b & c \\ 1 & m & n \\ f'(x) & g'(x) & h'(x) \end{vmatrix}$
$\begin{vmatrix} f'(x) & g'(x) & h'(x) \\ 1 & m & n \\ a & b & c \end{vmatrix}$
$\begin{vmatrix} 1 & m & n \\ f'(x) & g'(x) & h'(x) \\ a & b & c \end{vmatrix}$
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