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The set of all the possible values of th...

The set of all the possible values of the parameter 'a' so that the function,
`f(x) = x^(3)-3(7-x)x^(2)-3(9-a^(2))x+2`, assume local minimum value at some `x in (-oo, 0)` is -

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The correct Answer is:
`a gt 7`
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