\fDetermine the local maximum and minimum values of f(x) =2x3+3x- -12x+4 using the second derivative test when it applies. Local maximum value is 17 at X = - 1 . O Local minimum value is 8 at x = 2 . Local minimum value is 17 at X = - 1 . O Local maximum value is 8 at x = 2 . Local maximum value is 24 at x = - 2 . O Local minimum value is -3 at X = 1 . Local minimum value is 24 at x = - 2 . O Local maximum value is -3 at X = 1