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If x log(e) (log (e) x) - x^(2) + y^(2)...

If ` x log_(e) (log _(e) x) - x^(2) + y^(2) = 4 (y gt 0)`, then `(dy)/(dx) ` at x = e is equal to

A

`((1+2e))/(2sqrt(4+e^2))`

B

`(e )/(sqrt(4+e^2))`

C

`((2e-1))/(2sqrt(4+e^2))`

D

`((1+2e))/(sqrt(4+e^2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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