Determine the local maximum and minimum values of f(x) = - x3 +9x2 +3 using the second derivative test when it applies. Local minimum value is 3 at x = 0. Local maximum value is 111 at x = 6. Local minimum value is 18 at X = 0. Local maximum value is -18 at X = 6. Local maximum value is 18 at x = 0. Local minimum value is -18 at x = 6. Local maximum value is 3 atX = 0. Local minimum value is 111 at X = 6