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If y= (sqrt( x) +(1)/(sqrt(x)) ) ^(5) ,...

If y= ` (sqrt( x) +(1)/(sqrt(x)) ) ^(5) , then (dy)/(dx)` =

A

` (5( x-1))/( 2xsqrt (x) ) ( sqrtx+ (1)/(sqrt(x)) ) ^(4) `

B

` (5( 1-x))/( 2x sqrt ( x)) (sqrt(x) +(1)/(sqrt(x)) ) `

C

` (5(x-1) )/( 2sqrtx) ( sqrtx+( 1)/(sqrtx))`

D

` (5(1-x) )/( 2sqrtx) (sqrt(x) +(1)/(sqrt(x)))^(4) `

Text Solution

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The correct Answer is:
A
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