For a blackbody (in three dimensions), derive an equation whose solution gives the location of the peak peak of the spectrum dU/d.

For a blackbody (in three dimensions), derive an equation whose solution gives the location of the peak ωpeakof the spectrum dU/dω. You do not need to solve this equation, but instead determine from it how the answer scales with temperature: that is, if we double T, how does ωpeakchange?