divergence question show that the divergence transforms as a vector under 2D rotations. I am so confused abouth what this question wants me to do. Obviously the divergence is not invariant under rotations. Consider the divergence of the function f(x,y) = x^2 * x-hat. The divergence is clearly different at (x,y) = (1,0) than at (x,y) = (-1,0). What can this possibly mean then?