Please help with 3(b). The diagram will be posted later on. Thanks

3. (a) Use the limit definition of derivative to show that p(t) satisfies the differential equation p' ( t ) = Jap(t) ift T (You may use without proof the fact that lim ch - 1 - log(c) for all c > 0.) h-+0 h (b) Which of the two firms, Sargeaunt Pass or Humphrey Rock, has a larger parameter a? Justify your answer carefully