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y = x ^(sin x) + (sin x)^x then (dy)/(d...

`y = x ^(sin x) + (sin x)^x ` then `(dy)/(dx) =`

A

`x ^(sinx) ((sin x)/(x) + cos x log x) + (sin x ) ^(x) (x cot x + log sin x)`

B

`x ^(sinx) ((sin x)/(x) + cos x log x) + (sin x ) ^(x) (x cot x - log sin x)`

C

`x ^(sin x) (x cosec - cos x log x) + (sin x )^(x) (x cot x + log cos x)`

D

`x ^(sin x) (x cos x - sin x log x) +(sin x )^(x) (x cot x + log sin x)`

Text Solution

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The correct Answer is:
A
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