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(d)/(dx)(sqrtx+(1)/(sqrtx))^2=...

`(d)/(dx)(sqrtx+(1)/(sqrtx))^2=`

A

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

B

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

C

`1-(1)/(2x)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D

`(d)/(dx)[sqrt(x)+(1)/(sqrt(x)))^(2)=(d)/(dx)[x+(1)/(x)+1]=1-(1)/(x^(2))`
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