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d/dx cos^-1 sqrtcos x is equal to...

`d/dx cos^-1 sqrtcos x` is equal to

A

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

B

`sqrt(1+sec x)`

C

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

D

`-sqrt(1+sec x)`

Text Solution

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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