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

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The Answer of 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

Find All Relative Extrema of the Function f(x)=4x4−16x3+5f ( x ) = 4 x ^ { 4 } - 16 x ^ { 3 } + 5f(x)=4x4−16x3+5

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