For the function $z=6x^3-8y^2-7xy,$ find $\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}},\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{y}},\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{x}}z(-2,2),$ and $\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{y}}z(-2,2).$

$\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}}=$

$$

$\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{y}}=$

$$

$\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{x}}z(-2,2)=$

$$

$($Simplify your answer.$)$

$\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}\text{y}}z(-2,2)=$

$$

$($Simplify your answer.$)$