Given the configuration of Exercise 2.3. Calculate the gradient in cylindrical coordinates. Use the direct approach or the transformation from Cartesian to cylindrical coordinates.
Exercise 2.3
Given a function f(x, y, z) as the distance between a point P(x, y, z) and the origin O(0, 0, 0).
(a) Determine the gradient of this function in Cartesian coordinates.
(b) What is the magnitude of the gradient?