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If $f^{ \prime }( x ) =( x-1 ) { ( x+4 ) }^{ 2 }$, find all values where $f(x)$ is concave up and increasing.

A

$(-\infty,-4)$ and $\left(\dfrac{1}{2},\infty\right)$

B

$(1,\infty)$

C

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

D

$\left(-4,\dfrac{1}{2} \right)$

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