Will all partial derivatives veriables for any state function give -1 when multiplied?

Question

frostbite · Answer

fx for the Ideal gas law is dP/dT * dT/dV * dV/dP = -1

frostbite · Answer

And yes this is biology to some level :P

frostbite · Answer

If people can't see it then take a look at the attachment:

anonymous · Answer

It looks that way from the equation...

frostbite · Answer

In that case what about Boyle’s law?

frostbite · Answer

This begins to annoy me seems like it is only dP/dT * dT/dV * dV/dP that results in -1 therefor boyles law can't be used.
Here is another example for Van der Waals equation.
Can anyone explain me what is going on in general theory?

frostbite · Answer

If you try to use dV/dT * dP/dV * dT/dP you get some whole other results from the equations, why dP/dT * dT/dV * dV/dP is so special i have no idea about sense they are able to make any state function equal to -1.

kainui · Answer

http://en.wikipedia.org/wiki/Triple_product_rule