Homework Statement
Show that a relation of the kind ƒ(x,y,z) = 0
then implies the relation
(∂x/∂y)_z (∂y/∂z)_x (∂z/∂x)_y = -1
Homework Equations
f(x,y)
df = (∂f/∂x)_y dx + (∂f/∂y)_x dy
The Attempt at a Solution
I expressed x = x(y,z) and y = y(x,z) then found dx and...