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

If `y=(sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo)`, then, `x (dy)/(dx)=(y^(2))/(p-y log x).` Find p

A

2

B

1

C

-2

D

Cant say

Text Solution

Verified by Experts

The correct Answer is:

A

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Knowledge Check

If y=sqrt(x)^(sqrt(x)^(sqrt(x)^(sqrtx....oo))) , then (2-y log x)(dy)/(dx)=x

A

`xy^2 `

B

`(y^2)/(x)`

C

`y^2`

D

None

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