I have a hw problem that I know involves calculus, but I'm stumped.
The number density of photons left over from the Big Bang has an energy dependence of the form n(E)=(E^2)/e^(E/T)−1, where E is the energy of the photon and T is the temperature of this relic radiation. (For your information, this temperature has been measured to be about -270 degrees Celsius, but don’t use this information for the questions below.)
The problem asks me for the derivative of n(E) with respect to E and to keep T fixed. I'm guessing I could break this up as (E^2)(e^(E/T)-1)^(-1) and I think I can use the product rule, but I'm not entirely sure. Please do explain how to go about the problem, I don't just want the answer. Thank you!