Pregunta: If cos (xyz) = 1 + x^2y^2 + z^2, find z/x and z/y.

The equation $\cos \left(\mathrm{x}\mathrm{y}\mathrm{z}\right)=1+{\mathrm{x}}^2{\mathrm{y}}^2+{\mathrm{z}}^2$ is given.

The objective of the problem is to determine the partial derivatives $\frac{\partial \mathrm{z}}{\partial \mathrm{x}}$ and $\frac{\partial \mathrm{z}}{\partial \mathrm{y}}$.

Co...