If f(x,y,z)=x3y2zf(x,y,z) = x^3 y^2 zf(x,y,z)=x3y2z, find the third-order partial derivative ∂3f∂z ∂y ∂x\frac{\partial^3 f}{\partial z \, \partial y \, \partial x}∂z∂y∂x∂3f.
6x2y6x^2 y6x2y
6xyz6xyz6xyz
3x2y3x^2 y3x2y
6x2yz6x^2 y z6x2yz