Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x) = 3x° + 12x + 12x - 5 on the domain [-5,0]. Find the derivative of f(x) = 3x° + 12x +12x-5. f'(x) = Identify the absolute maximum if it exists, as well as all values of x where it occurs. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum is which occurs at x= (Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needec O B. There is no absolute maximum. Identify the absolute minimum if it exists, as well as all values of x where it occurs. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum is which occurs at x = (Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of x where the minimum occurs. Use a comma to separate answers as needed. O B. There is no absolute minimum.