已知函数U(x,y,z)=xy2z3U(x,y,z)=xy^{2}z^{3} ,向量n=(2,2,−1)n=\left(2,2,-1\right) ,则∂ν∂n∣(1,1,1)=\left.\frac{\partial\nu}{\partial n}\right|_{(1,1,1)}=______.
43−2sin1\frac 43-2 \sin 1
3