Divergence of Spherical Coordinates

[zoso335]

Homework Statement

Compute the divergence of v = (1/(r^2)) r where r = sin(u)cos(v)i + sin(u)sin(v)j + cos(u)k, r^2 = x^2 + y^2 + z^2

The Attempt at a Solution

I can only think to express r as a function of x,y,z and do it. I know there's a simpler way though, but it's driving me crazy. I can't find anywhere how to do this.

 

[vela]

Look up what the form of the divergence operator is in spherical coordinates.