# Math Help - Partial Derivatives

1. ## Partial Derivatives

Hello everyone. I don't really know where to start with this problem.

The gas law for a fixed mass of an ideal gas at absolute temperature , pressure , and volume is , where is the gas constant. Find the partial derivatives

(an integer)

Thanks for any help!

2. Hi

When you calculate partial derivatives you must consider that all other variables are constant

$PV = mRT$

$P = \frac{mRT}{V} = mRT \frac{1}{V}$

$\frac{\partial P}{\partial V} = mRT \left(-\frac{1}{V^2}\right) = -\frac{mRT}{V^2}$

3. Thanks! I know how to do the partials, I was just stupid and didnt think of isolating the variable correctly. Thanks again!