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

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

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

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

Log in to reply

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

Log in to reply

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

Log in to reply

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

Log in to reply

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

Log in to reply

Log in to reply

My solution

Finally, found itLog in to reply

(1) Right Max value<0

(2) Left Min value>0

Log in to reply

Log in to reply

Corrected solution part 1

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

Log in to reply

Log in to reply

Log in to reply

Log in to reply

Log in to reply