Determine the critical points of the given function and classify each critical point as a relative maximum,a relative minimum,or neither. $f ( x ) = 3 x ^ { 4 } - 8 x ^ { 3 } + 6 x ^ { 2 } + 3$
A)(0,2)neither; (1,3)relative minimum
B)(0,2)relative minimum; (1,3)relative maximum
C)(0,3)relative minimum; (1,4)neither
D)(0,2)relative minimum; (1,4)neither

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The Answer of Determine the critical points of the given function and classify each critical point as a relative maximum,a relative minimum,or neither. $f ( x ) = 3 x ^ { 4 } - 8 x ^ { 3 } + 6 x ^ { 2 } + 3$
A)(0,2)neither; (1,3)relative minimum
B)(0,2)relative minimum; (1,3)relative maximum
C)(0,3)relative minimum; (1,4)neither
D)(0,2)relative minimum; (1,4)neither

Determine the Critical Points of the Given Function and Classify f(x)=3x4−8x3+6x2+3f ( x ) = 3 x ^ { 4 } - 8 x ^ { 3 } + 6 x ^ { 2 } + 3f(x)=3x4−8x3+6x2+3

Determine the Critical Points of the Given Function and Classify $f ( x ) = 3 x ^ { 4 } - 8 x ^ { 3 } + 6 x ^ { 2 } + 3$