I am trying to solve the following exercise. I have the feeling that it is a very simple one, but I am lost. I do not know where to start, because you do not have an specific function. The exercise says:
If $$F(x, y, z)=0$$ prove that $$\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial x}=-1$$
I would appreciate any help you could offer.