Find \(f_x, f_y, f_z, f_{yz}, f_{zy}\)
\(f(x,y,z) = x^3y^2 + x^3z + y^2z\)
\(f_x = 3x^2y^2 + x^2z\)
\(f_y = 2x^3y + 2yz\)
\(f_z = x^3 + y^2\)
\(f_yz = 2y\)
\(f_zy = 2y\)