Let f(x,y,z)=x2y3z4f(x, y, z) = x^2 y^3 z^4f(x,y,z)=x2y3z4. Find the third-order partial derivative ∂3f∂x∂y∂z\frac{\partial^3 f}{\partial x \partial y \partial z}∂x∂y∂z∂3f.
12xz312x z^312xz3
24xy2z324x y^2 z^324xy2z3
48xy2z348x y^2 z^348xy2z3
24xyz224x y z^224xyz2