Answer to Question #155841 in Differential Equations for Aamir

Question

If(x, y, z, w) =0 then find (delx/dely) *(dely/delz) *(delz/delw) *(delw/delx)

Answer 1

Let $F(x,y,z,w)=0, w=f(x,y,z)$

then:

$\frac{\partial x}{\partial y}=\frac{\partial y}{\partial z}=0$

So:

$\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial w}\frac{\partial w}{\partial x}=0$