Find all the first and second order partial derivatives of $f(x, y) = -6\sin(2x+y) + 2\cos(x-y)$.

A. $\frac{\partial f}{\partial x} = f_x =$

B. $\frac{\partial f}{\partial y} = f_y =$

C. $\frac{{\partial^2}f}{\partial x^2} = f_x{}_x =$

D. $\frac{{\partial^2}f}{\partial y^2} = f_y{}_y =$

E. $\frac{{\partial^2}f}{\partial x \partial y} = f_y{}_x =$

F. $\frac{{\partial^2}f}{\partial y \partial x} = f_x{}_y =$