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Applying the Mean Value Theorem to $g\left( x \right) =3{ x }^{ 2 }+2x+1$ on $0\le x\le 2$ guarantees that there exists some value $c$ where $0 < c < 2$ such that $g^{ \prime }\left( c \right) =$

A

$9$

B

$8$

C

$6$

D

$0$

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