Please show your work

5. Notice that if we apply the definition of the dervative f'(a) = lim f(ath) - f(a) to f(x) = et and h-+0 h a = 0 we get the limit: poth eo h - 1 lim lim h-+0 h h-+0 h We say that these limits represent the derivative of y = er at a = 0. In this question, you will apply this process in reverse. Given a representation of a derivative, you'll determine the function f(x) and a. Determine the function f(x) and the value a for the following limit: lim (2(3 + h)2 - (3 + h)] - 15 h-+0 h4. Use the following graph of y = f(x) to sketch the graph y = f'(x). In your solution, please highlight the points corresponding to (-1, 1.25), (0, 1), (1, 1.25). -1. 1.25 2 1, 1.25 (0, 1) -2 0 -24