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If y= sqrt (x+(1)/( x) ),then (dy)/(dx)...

If y= ` sqrt (x+(1)/( x) ),then (dy)/(dx) =`

A

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

B

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

C

` (x^(2)-1) /( 2x sqrt ( x) sqrt ( x^(2) +_ 1 ) ) `

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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