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The derivative of sqrt(sin x + sqrt(sin ...

The derivative of `sqrt(sin x + sqrt(sin x ))` w.r.t x is

A

`- (cos x (1 +2 sqrt(sin x )))/(4 sqrt(sin ^(2 ) x + sin x sqrtsin x ))`

B

`- (cos x (1 +2 sqrt(sin x )))/( 4sqrt(sin ^(2 ) x - sin x sqrtsin x ))`

C

`(cos x (1-2sqrtsin x ))/(4 sqrt(sin ^(2) + sin x sqrt(sin x )))`

D

`(cos x (1-2sqrtsin x ))/(4 sqrt(sin ^(2) - sin x sqrt(sin x )))`

Text Solution

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The correct Answer is:
A
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