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Find All Critical Points Of f(x)=3x42x312x2+18xf ( x ) = 3 x ^ { 4 } - 2 x ^ { 3 } - 12 x ^ { 2 } + 18 x

Question 17

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Find all critical points of f(x)=3x42x312x2+18xf ( x ) = 3 x ^ { 4 } - 2 x ^ { 3 } - 12 x ^ { 2 } + 18 x , and use the second derivative test to classify each as a relative maximum, a relative minimum, or neither.

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