函数u=ln(x+y+z)在点M(1,2,-2)处的梯度是多少

问题描述:

函数u=ln(x+y+z)在点M(1,2,-2)处的梯度是多少

梯度=(∂u/∂x,∂u/∂y,∂u/∂z)
∂u/∂x=1/(x+y+z),∂u/∂y=1/(x+y+z),∂u/∂z=1/(x+y+z),
u点M(1,2,-2)处的梯度:(1,1,1).