Identify the Function's Local and Absolute Extreme Values, If Any $$g ( x ) = \frac { x ^ { 4 } } { 4 } - \frac { 4 } { 3 } x ^ { 3 } - \frac { 9 } { 2 } x ^ { 2 } + 36 x - 4$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$g ( x ) = \frac { x ^ { 4 } } { 4 } - \frac { 4 } { 3 } x ^ { 3 } - \frac { 9 } { 2 } x ^ { 2 } + 36 x - 4$$

A) local maxima at x = 3 and x = -4; local minimum at x = 3
B) local maximum at x = 3; local minima at x = -3 and x = 4
C) local maxima at x = -3 and x = 4; local minimum at x = 3
D) local maximum at x = -3; local minimum at x = 4