Find the values of $\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}}$ and $\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{y}}$ at the given point.

$3z^3-xy4yz2y^3-17=0,(5,2,1)$

$\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}}{|}_{(5,2,1)}||=($Type an integer or a simplified fraction.$)$

$\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{y}}{|}_{(5,2,1)}||=($Type an integer or a simplified fraction.$)$