d/(dx)cos^(-1)sqrt(cosx)i se q u a lto ...

`d/(dx)cos^(-1)sqrt(cosx)i se q u a lto` `1/2sqrt(1+s e cx)` (b) `sqrt(1+secx)` `-1/2sqrt(1+secx)` (d) `-sqrt(1+secx)`

`(1)/(2)sqrt(1+sec x)`

`sqrt(1+sec x)`

`-(1)/(2)sqrt(1+sec x)`

`-sqrt(1+sec x)`

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Verified by Experts

`(d)/(dx)cos^(-1)sqrt(cos x)=(sin x)/(2sqrt(cos x)sqrt(1-cos x))`
`=(sqrt(1- cos^(2)x))/(2sqrt(cos x)sqrt(1-cos x))=(1)/(2)sqrt((1+cos x)/(cos x))`

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