How to create a command to write partial derivatives

Now I am writing a theorem in my partial differential equation course and it involves so many partial derivatives like $frac{partial f}{partial u}, frac{partial u}{partial x},frac{partial v}{partial y}$ and so on. Now each time I have to write the frac and partial command which leads to so many errors. So I was thinking may be if we define a new command like frac and just write dependent and independent variables in { } to get the partial derivative. So is there a way to do it?