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Find the derivative of $y={ x }^{ x+1 }.$

A

$( x+1 ) { x }^{ x }$

B

${ x }^{ x+1 }\cfrac{x+1}{ \ln { x }} $

C

$\ln { x } +\cfrac{x+1}{x}$

D

${ x }^{ x+1 }\left( \ln { x } +\cfrac{x+1}{x}\right)$

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