Find the Jacobian

$\frac{\text{d}\text{e}\text{l}(x,y,z)}{\text{d}\text{e}\text{l}(u,v,w)}$

for the indicated change of variables. If

$x=f(u,v,w),y=g(u,v,w),$ and $z=h(u,v,w),$

then the Jacobian of $x,y,$ and $z$ with respect to $u,v,$ and $w$ is