If f(x) = sin 2x - 8 (a + 1) sin x + (4a...

If `f(x) = sin 2x - 8 (a + 1) sin x + (4a^(2) + 8a - 14)x` increases for all `x in R` and has no critical points for all `x in R`, then which of the following values of a are not possible ?

A

`(-oo, -sqrt(5) - 2)`

B

`(1, oo)`

C

`( sqrt(5), oo)`

D

None of these

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Verified by Experts

The correct Answer is:

B

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