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

Exercise

Calculate the gradient of the scalar field

$$u=\ln\sqrt{x^2+y^2+z^2}$$

At point (1,1,1).

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