Problem:
Find the jacobian of the vector valued function $\begin{pmatrix} f(x,y,z)\\ g(x,y,z) \\ h(x,y,z)\end{pmatrix}$ where $f(x,y,z) = x$, $g(x,y,z) = \tan (x y-z)$, and $h(x,y,z) = \log (x y)$
Answer:
$\left(
\begin{array}{ccc}
 1 & 0 & 0 \\
 y \sec ^2(x y-z) & x \sec ^2(x y-z) & -\sec ^2(x y-z) \\
 \frac{1}{x} & \frac{1}{y} & 0 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/jacobian/34442.txt'}