Calculate the derivatives using implicit differentiation:

$\frac{\partial U}{\partial T}$ and $\frac{\partial T}{\partial U}$ of $(TU-V)^2\ln(W-UV) =1$ at $(T,U,V,W)=(6,1,3,6)$

$\frac{\partial U}{\partial T}\bigg|_{( 6,1,3,6 )}=$

$\frac{\partial T}{\partial U}\bigg|_{( 6,1,3,6 )}=$