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The values of 'a' for which the function...

The values of 'a' for which the function `(a+2)x^3-3ax^2+9ax-1` decreases monotonically throughout for all real x are

A

`a lt -2`

B

`agt -2`

C

`-3 lt alt 0`

D

`-oo lt a le -3`

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The correct Answer is:
D
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