Calculate the derivatives using implicit differentiation:

$($delU$)/($delT$)$ and $($delT$)/($delU$)$ of $($TU$-$V$)^(2)$ln$($W$-$UV$)=1$ at

$($T$,$U$,$V$,$W$)=(6,1,7,14)$

$($delU$)/($delT$)|\_((6,1,7,14))=-(2$ln$(7)+7)/(12$ln$(7)-1)$

$($delT$)/($delU$)|\_((6,1,7,14))=(-12$ln$(7)+6)/(3)$