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If y=a ^(5sin (x) ) ,then (dy)/(dx) =...

If ` y=a ^(5sin (x) ) ,then (dy)/(dx) =`

A

` (log _5 a) (cosx) a^(5sin x)5^(sin x ) `

B

`- (log _5 a) (cosx) a^(5sin x)5^(sin x ) `

C

` (log a) (log5 ) (cos x) a^(5sin x)5^(sin x ) `

D

`- (log a) (log5 ) (cos x) a^(5sin x)5^(sin x ) `

Text Solution

Verified by Experts

The correct Answer is:
C
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