Given $f(x,y,z)=9x-8y^2+8z^2,x=\sqrt[\phantom{2}]{u+v},y=(u+w)ln(v),z=9-v+8w.$ Find $\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{u}},\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{v}},$ and $\frac{\text{d}\text{e}\text{l}}{\text{d}\text{e}\text{l}}($Use symbolic notation and fractions where needed.$)$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{u}}=$

$$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{v}}=$

$$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{w}}=$

$$