Differentiate (x + 1/x)^(x) w.r.to x....

Differentiate `(x + 1/x)^(x)` w.r.to x.

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The correct Answer is:

`(x+(1)/(x))^(x)[(x^(2)-1)/(x^(2)+1)+log(x+(1)/(x))]+x^(1+(1)/(x))((x+1-logx)/(x^2))`

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