3. Please show your work. Thank you

Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x) = 2x" - 8x" + 8x + 5 on the domain [0,4]. Find the derivative of f(x) = 2x - 8x2+ 8x + 5. f' ( x ) = 6x -16x +8 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.)