If y = x^((x^(x))), then (dy)/(dx) =...

If ` y = x^((x^(x)))`, then `(dy)/(dx) `=

A

`y [ x^(x) ( log e x) * log x + x^(x)]`

B

`y [ x^(x) ( log ex) * log x + x]`

C

` y [ x^(x) ( log ex)* log x + x^(x - 1) ]`

D

` y [ x^(x)(log _(e) x) * log x + x^(x - 1) ]`

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The correct Answer is:

C

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