The Exponential Function: Total 7 points 1. (a) [2 points] Given that a > 0 and that f (a) = a for every r, explain why we must have the equation ah - 1 f'(x) = a lim h-+0 h (b) [1 point] Say clearly how the number e is defined. Your answer will begin: The number e is the value of a that makes ..... (c) [1 point] Combine parts a and b and explain briefly why, if f (r) = ed for every r, then we must have f' (x) = e. d (d) [2 points] Using what you proved in Part c, explain why log x