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The Taylor series for $\cos { x } $ about $x=0$ is $1-\cfrac { { x }^{ 2 } }{ 2! } +\cfrac { { x }^{ 4 } }{ 4! } -\cfrac { { x }^{ 6 } }{ 6! } +...$
If $f$ is a function such that $f^{ ' }\left( x \right) =\cos { \left( { x }^{ 2 } \right) } $, then the coefficient of ${ x }^{ 9 }$ in the Taylor series for $f\left( x \right) $ about $x=0$ is

A

$\cfrac { 1 }{ 24 } $

B

$\cfrac { 1 }{ 216 } $

C

$\cfrac { 1 }{ 9! } $

D

$\cfrac { 1 }{ 9} $

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