Use the Second Derivative Test to Find the Relative Maxima $$f ( x ) = 2 x ^ { 3 } + 6 x ^ { 2 } - 18 x + 1$$

Multiple Choice

Use the second derivative test to find the relative maxima and minima of the function $$f ( x ) = 2 x ^ { 3 } + 6 x ^ { 2 } - 18 x + 1$$ .

A) Relative maximum at (-3, -8) ; relative minimum at (1, 55)
B) Relative maximum at (-3, 55) ; relative minimum at (1, -9)
C) Relative maximum at (-3, -9) ; relative minimum at (-1, 23)
D) Relative maximum at (1, 55) ; relative minimum at (-3, -9)