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Given $f( x ) =\cfrac{ \arctan { x } }{ { x }^{ 2 }+1 } ,$ find $f^\prime(x)$.

A

$\cfrac{1-2x\arctan { x } }{( { x }^{ 2 }+1 ) ^{ 2 }}$

B

$\cfrac{1/( 1+{ x }^{ 2 } ) }{2x} $

C

$\cfrac{1+x^2}{\arctan { x }} $

D

$\cfrac{2x\arctan { x } -1}{ ( { x }^{ 2 }+1 )^2}$

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