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The function f(x) = x3 + 6x2 + (9 + 2k)x + 1 is strictly increasing for all x, if ____________. -

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Question

The function f(x) = x3 + 6x2 + (9 + 2k)x + 1 is strictly increasing for all x, if ____________.

Options

  • `"k" > 3/2`

  • `"k" < 3/2`

  • `"k" ge 3/2`

  • `"k" le 3/2`

MCQ
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Solution

The function f(x) = x3 + 6x2 + (9 + 2k)x + 1 is strictly increasing for all x, if `underline("k" > 3/2)`.

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