Hello I need some help with these 2 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1. Use the limits definition f = lim f(xth)-f(x) to show that the h-0 h derivative to the curve f (x) = 7* is f'(x) = In7.(7X) . 2. Given f(x) = ex, verify that lim pith _px h-0 h = e and explain how this illustrates that f'(x) = In e . ex = ex