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If y= 5^(e^(xsin x )), then (dy)/(dx) =...

If `y= 5^(e^(xsin x )), then (dy)/(dx) =`

A

`(sin ^(2) x +2sin 2x ) (log 5 )5^(e^(xsin ^(2) xe^(x) ) ) `

B

`(sin ^(2) x -2sin 2x ) (log 5 )5^(e^(xsin ^(2) x_e^(x) ) ) `

C

`(sin ^(2) x+sin 2x ) (log 5 )5^(e^(xsin ^(2) x_e^(x) ) ) `

D

`(sin ^(2) x-sin 2x ) (log 5 )5^(e^(xsin ^(2) x_e^(x) ) ) `

Text Solution

Verified by Experts

The correct Answer is:
C
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