Practicing Success
If $A=\begin{bmatrix}f(x) & g(x)\\h(x)& t(x)\end{bmatrix}$ Then $\frac{d}{dx}|A|$ is : |
$\begin{vmatrix}f'(x) & g'(x)\\h'(x) & t'(x)\end{vmatrix}$ $\begin{vmatrix}f(x) & g(x)\\h'(x) & t'(x)\end{vmatrix}$ $\begin{vmatrix}f'(x) & g'(x)\\h(x) & t(x)\end{vmatrix}$ $\begin{vmatrix}f'(x) & g'(x)\\h(x) & t(x)\end{vmatrix}+\begin{vmatrix}f(x) & g(x)\\h'(x) & t'(x)\end{vmatrix}$ |
$\begin{vmatrix}f'(x) & g'(x)\\h(x) & t(x)\end{vmatrix}+\begin{vmatrix}f(x) & g(x)\\h'(x) & t'(x)\end{vmatrix}$ |