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If y=(sqrt(x))^((sqrt(x))^((sqrt(x))^(....

If `y=(sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo)`, show that, `x (dy)/(dx)=(y^(2))/(2-y log x).`

A

`xy^(2)`

B

`y^(2)/x`

C

`y^(2)`

D

`x/y^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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