1. The problem statement, all variables and given/known data I want to solve for the derivative of e^x using the limit definition. 2. Relevant equations [Broken] 3. The attempt at a solution obviously the derivative of e^x is itself, so i konw the answer. i just cannot derive it using the limit definition. i plug it in and i get lim (h->0) [ e^(x+h) - e^x ] / h with h being delta x from there i have no idea how to simplify it. can someone give me a hint on how to start and some possibly ways to simplify it down? thanks.