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Determine whether the function f(x)=x 4 +8x 3 + 19x 2 + 12x at x = 2 has a maximum or minimum at the point

Determine whether the function f(x)=x4 +8x3+ 19x2+ 12x at x = 2 has a maximum or minimum at the point where x = 2. Justify your answer.

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