Consider the surface $F(x,y,z)=x^9{z}^2+sin(y^7{z}^2)-10=0.$

Find the following partial derivatives

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

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