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)