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Find ' a ' for which f(x)=a\ (x+sinx)+a ...

Find `' a '` for which `f(x)=a\ (x+sinx)+a` is increasing on `R` .

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Verified by Experts

We have given
`f(x)=a(x+sinx)+a`
Then,
`f'(x)=a(1+cosx)`
Then
`−1``\leq``cosx``\leq``1`
Then,
`1+cosx``\geq``0`
...
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