View source for Talk:Pressure, Volume, Quantity, and Temperature

The '''dP/dn''' formula in the Extra Credits section says

'''(d/dn)(nRT)/V = (RT/V)*(dn/d)n'''

while the '''dT/dP''' formula says

'''(d/dP){(PV)/(nR)} = {V/(nR)} * (d/dP)P'''

Notice that, on the right side of the equation, the '''dP/dn''' formula inverts '''(d/dn)''' while the '''dT/dP''' does not invert '''(d/dP)'''.
Is the first formula wrong?