Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = - x ^ { 3 } + 1.5 x ^ { 2 } + 36 x + 2$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = - x ^ { 3 } + 1.5 x ^ { 2 } + 36 x + 2$$

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