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Differentiation of cos (sqrt(x)) with re...

Differentiation of cos `(sqrt(x))` with respect to x is

A

`-sin sqrtx`

B

`(1)/(2sqrtx) sin sqrtx`

C

`-sqrtx sin sqrtx`

D

`-(1)/(sqrtx) sin sqrtx`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=cos (sqrtx)`
`(dy)/(dx) =-sin sqrtx(d)/(dx)(sqrtx) =(-1)/(2sqrtx) sin sqrtx`
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