I am very poor at English.
I want to know which of these sentences is correct.
If $f(x, y)$ is a $C^2$ function, then $\frac{\partial^2 f}{\partial x \partial y}$ and $\frac{\partial^2 f}{\partial y \partial x}$ are the same function.
If $f(x, y)$ is a $C^2$ function, then $\frac{\partial^2 f}{\partial x \partial y}$ and $\frac{\partial^2 f}{\partial y \partial x}$ are the same functions.