Derivative of (log x)^x w.r.t. log x is...

Derivative of `(log x)^x` w.r.t. `log x` is

A

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

B

`x(log x)^x[log(log x)+1/(log x)]`

C

`x^3(log x)^x[log(log x)+1/(log x)]`

D

`((log x)^x)/x[log(log x)+1/(log x)]`.

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