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The set of all values of k for which the...

The set of all values of k for which the function `f(x) = (k^2 - 3k + 2) (cos^2 "" (x)/4 - sin^2 "" (x)/4) + ( k - 1)x + sin 1` does not possess critical points is

A

`[1 , oo)`

B

`(0,1) uu (1,4)`

C

`(-2,4)`

D

`(1,3) uu (3,5)`

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The correct Answer is:
B
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