Components of $\nabla\log\frac1r$ in Cartesian, cylindrical and spherical coordinates

Consider the vector field \(\vec{A} = \vec{\nabla}\log\frac{1}{r}\), where \(r = \sqrt{x^2 + y^2 + z^2}\). Write the components of this field

1. in Cartesian coordinates \((x, y, z)\),

2. in cylindrical coordinates \((r, \phi, z)\),

3. in spherical coordinates \((r, \theta, \phi)\).