Determine the critical points of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. $f ( x ) = 9 x ^ { 4 } - 24 x ^ { 3 } + 18 x ^ { 2 } + 3$

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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. $f ( x ) = 9 x ^ { 4 } - 24 x ^ { 3 } + 18 x ^ { 2 } + 3$

Determine the Critical Points of the Given Function and Classify f(x)=9x4−24x3+18x2+3f ( x ) = 9 x ^ { 4 } - 24 x ^ { 3 } + 18 x ^ { 2 } + 3f(x)=9x4−24x3+18x2+3

Determine the Critical Points of the Given Function and Classify $f ( x ) = 9 x ^ { 4 } - 24 x ^ { 3 } + 18 x ^ { 2 } + 3$