Gradient – A scalar field with ln and a square root – Exercise 4254

Exercise

Calculate the gradient of the scalar field

u=lnx2+y2+z2u=\ln\sqrt{x^2+y^2+z^2}

At point (1,1,1).

Final Answer


u(1,1,1)=(13,13,13)\nabla u(1,1,1)=(\frac{1}{3},\frac{1}{3},\frac{1}{3})

Solution

Coming soon…

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