Find the Inflection Point(s) of Y = 2 $x ^ { 3 }$

Multiple Choice

Find the inflection point(s) of y = 2 $x ^ { 3 }$ - 3 $x ^ { 2 }$ - 12x + 17.

A) $\left( \frac { 1 } { 2 } , \frac { 21 } { 2 } \right)$
B) $\left( \frac { 1 } { 2 } , \frac { 21 } { 2 } \right)$ and $- \frac { 1 } { 2 } , 22$
C) $\left( \frac { 7 } { 2 } , 24 \right.$ and $\left( \frac { 1 } { 2 } , \frac { 21 } { 2 } \right)$
D) (2, -3)
E) none of these