Mean Value Theorem: Applying the MVT to a Function

Easy

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 $g^{ \prime }\left( c \right) =$