If y=x^(x^(x^(x^(x^(oo))))), then x(dy)/...

If `y=x^(x^(x^(x^(x^(oo)))))`, then `x(dy)/(dx)` is equal to

A

`(y)/(1-ylogx)`

B

`(y)/(x(1-ylogx))`

C

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

D

`(y^(2))/(1-ylogx)`.

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The correct Answer is:

D

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