the gradient vector of u=ln(x的平方+y的平方+z的平方) at M(1,-1,1)is ?

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the gradient vector of u=ln(x的平方+y的平方+z的平方) at M(1,-1,1)is ?

the gradient vector of u=ln(x的平方+y的平方+z的平方) at M(1,-1,1)is ?
the gradient vector of u=ln(x的平方+y的平方+z的平方) at M(1,-1,1)is ?

the gradient vector of u=ln(x的平方+y的平方+z的平方) at M(1,-1,1)is ?
du/dx=2x/(x的平方+y的平方+z的平方)
du/dy=2y/(x的平方+y的平方+z的平方)
du/dz=2z/(x的平方+y的平方+z的平方)
代入 M(1,-1,1)
结果是
(2/3,-2/3,2/3)

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