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Question

The function f(x)= 2x3 9x2 + 12x + 4 is decreasing in the interval(s)

A
(, 1) and (2, )
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B
(, 1) only
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C
(1, 2)
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D
(2, ) only
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Solution

The correct option is C (1, 2)
(f(x) = 2x3 9x2 + 12x + 4
f'(x) = 6x2 18x + 12=6(x2 3x +2)=6(x 1)(x 2) > 0f(x) > 0 in (, 1) (2, )f(x) < 0 in (1, 2)

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