\[f\left( x \right) =\left( { a }^{ 2 }-3a+2 \right) \left( \cos ^{ 2 }{ \frac { x }{ 4 } } -\sin ^{ 2 }{ \frac { x }{ 4 } } \right) +\left( a-1 \right) x+\sin { 1 } \]

The set of all values of \(a\) for which the function above does not posses critical point is \(\text{__________} \).

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## Comments

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TopNewestWhat's the answer ?? I'm getting a€(0,4)- {1} ........... I might have missed cases because I'm a expert in doing that.. ;-)

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The answer given is \((1,\infty)\).

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How you solved ?? I found f'(x) and ensured that it does not vanish!! And ultimately got the wrong answer!!

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My solution

Finally, found itLog in to reply

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Corrected solution part 1

Considered the cases you told me to, still i am not getting the desired answer.Corrected solution part 2

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(1) Right Max value<0

(2) Left Min value>0

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@Rishabh Cool, I have got a issue in this one too so if you will please, see this one too

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@Rishabh Cool. Would you spare some of your time to please post a solution of this.

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