Find All Relative Extrema of the Function $f ( x ) = 4 x ^ { 4 } - 16 x ^ { 3 } + 5$

Multiple Choice

Find all relative extrema of the function $f ( x ) = 4 x ^ { 4 } - 16 x ^ { 3 } + 5$ Use the Second Derivative Test where applicable.

A) relative max: $f ( 6 ) = 1733$ ; no relative min
B) relative max: $f ( 3 ) = 103$ ; no relative min
C) no relative max or min
D) relative min: $f ( 6 ) = 1733$ ; no relative max
E) relative min: $f ( 3 ) = - 103$ ; no relative max