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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

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

B

$(0, \sqrt{ \dfrac{3}{2} } ) $

C

$( -\infty ,-3 ) $

D

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

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