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If y=log(sqrt(x+sqrt(x^(2)+a^(2))))" the...

If `y=log(sqrt(x+sqrt(x^(2)+a^(2))))" then: "(dy)/(dx)=`

A

`(1)/(2)(x^(2)+a^(2))^(-1//2)`

B

`(1)/(2)(x^(2)+a^(2))^(1//2)`

C

`(1)/(2)(x^(2)+a^(2))^(1//2)`

D

`(1)/(2)(x^(2)-a^(2))^(-3//2)`

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