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For the function if y = x ^(x ^(x^(x^---...

For the function if `y = x ^(x ^(x^(x^----∞),` then `(dy)/(dx)` is equal to :

A

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

B

`(y)/(x (1 + y log x ))`

C

`y x ^( y -1)`

D

`(y)/( x (1 + x log y))`

Text Solution

Verified by Experts

The correct Answer is:
A
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