Question

onsider the equation xz2 − 4 yz − 6 lnz = −1 as defining z implicitly as a function of x and y. The values of \dfrac∂z∂x and \dfrac∂z∂y at (3,1,1) are ??? and ???.
(This problem used to have "log" instead of "ln", but the answer was the same, because in webwork "log" means the natural logarithm.