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Let $f$ be a continuous, differentiable function.

If $f^{ \prime }( x ) =x(x-2){ ( x+3 ) }^{ 2 }$, for what values of $x$ will $f(x)$ be decreasing and concave up?

A

$\left( \sqrt{ \dfrac{3}{2} } ,2 \right) $

B

$\left( \sqrt{ \dfrac{3}{2} } ,\infty \right) $

C

$\left( -3,-\sqrt{ \dfrac{3}{2} } \right )\cup (1,\infty ) $

D

$\left( -3,-\sqrt{ \dfrac{3}{2} } \right) $

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