1. The problem statement, all variables and given/known data f(x)=f'(x) for all x in R S.T there exists a c in R such that f(x) = c exp(x) for all x 2. Relevant equations 3. The attempt at a solution By defining g = f/c, I was able to show that c= f(0) But i am also supposed to show that c Not equal to any other value I tried assuming that c=f(1) and cannot find a contradiction unless I plug it into f(1)=f(1).exp(1). I am supposed to use Mean value Thm to show the contradiction. How do I go about doing it?