Determine if f'' is positive, negative or zero at a critical value to determine if there is a relative maximum, relative minimum, or neither at a critical value.

Determine the local maximum and minimum values of f(x) = - 2x -6x-+48x +3 using the second derivative test when it applies. a.) Local minimum value is 36 at x = -4 . O Local maximum value is -36 at x = 2 . b.) Local minimum value is -157 at x = -4 . O Local maximum value is 59 at x = 2 . c.) Local maximum value is -157 at x = -4 . O Local minimum value is 59 at x = 2 . d.) Local maximum value is 36 at x = -4 . O Local minimum value is -36 at x = 2