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If y= (a^(sqrt x) ) ^(sin x) ,then (dy)...

If `y= (a^(sqrt x) ) ^(sin x) ,then (dy)/(dx) =`

A

` a^(sqrt( x ) sin x ) (log a ) (sqrt xcos x -(sin x)/(sqrt(x)) ) `

B

` a^(sqrt( x ) sin x ) (log a ) (sqrt xcos x + (sin x)/(sqrt(x)) ) `

C

` a^(sqrt( x ) sin x ) (log a ) (sqrt xcos x + (sin x)/(2sqrt(x)) ) `

D

` a^(sqrt( x ) sin x ) (log a ) (sqrt xcos x - (sin x)/(2sqrt(x)) ) `

Text Solution

Verified by Experts

The correct Answer is:
C
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