Use the Second Derivative Test to Find the Relative Extrema $f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 36 x - 5$

Multiple Choice

Use the Second Derivative Test to find the relative extrema, if any, of the function $f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 36 x - 5$

A) Rel. max. $f ( - 3 ) = 22$ ,
rel. min. $f ( 2 ) = - 73$
B) Rel. max. $f ( - 2 ) = 39$ ,
rel. min. $f ( 3 ) = - 86$
C) Rel. max. $f ( 3 ) = 86$ ,
rel. min. $f ( - 2 ) = - 39$
D) Rel. max. $f ( 2 ) = 73$ ,
rel. min. $f ( - 3 ) = - 22$