please answer those 4 q

For the function f(x) = 3 ex, find f"(x), f"(0), f"(2), and f"( -9). f"(x) = (Type an exact answer in simplified form.)\f\fFind all critical numbers of the function f(x) = x" - 288x". Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The critical number(s) is/are at x = . There is a local maximum at x = There is no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The critical number(s) is/are at x = . There is no local maximum. There is a local minimum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. The critical number(s) is/are at x = . There is no local maximum and no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O D. The critical number(s) is/are at x = . There is a local maximum at x = . There is a local minimum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O E. There are no critical numbers