Can you please help me answer number11?

11. (186) If g(x) =-2x3 + 96x and g'(x) = -6x2 +96, find the local maximum and minimum of g(x). A. Local max: (-4, 0); Local min: (4, 0) B. Local max: (4, 256); Local min: (-4, -256) C. Local max: (-4, 256); Local min: (0, 0) D. Local max: (4, 236); Local min: (-4, -236) E. Local max: (0, 0); Local min: (4, -256)