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If x=e^(y+^(e^(y)+…oo,))x gt 0, then (dy...

If `x=e^(y+^(e^(y)+…oo,))x gt 0`, then `(dy)/(dx)` is

A

`(1-x)/(x)`

B

`(1)/(x)`

C

`(x)/(1+x)`

D

`(1+x)/(x)`

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A
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