[QUE/TH-06003] TH-PROBLEM

Show that if
$$ \left(\frac{\partial U}{\partial V}\right)_T\,=\,0$$
then
$$ \left(\frac{\partial U}{\partial P}\right)_T\,=\,0 $$
with
$$ \left(\frac{\partial P}{\partial V}\right)_T\,\neq\,0$$