Find the Derivative Of $f ( x ) = e ^ { x } \left( x ^ { 2 } + 2 \right)$

Multiple Choice

Find the derivative of $f ( x ) = e ^ { x } \left( x ^ { 2 } + 2 \right)$ .

A) $2 x e ^ { x }$

B) $e ^ { x } ( 2 x + 2 )$ .
C) $2 x ^ { 2 } e ^ { x - 1 }$
D) $e ^ { x } \left( x ^ { 2 } + 2 x \right)$
E) $x ^ { 2 } e ^ { x - 1 }$
F) $e ^ { x } \left( x ^ { 2 } + 2 x + 2 \right)$

G) $e ^ { x } ( 2 x + 2 )$

H) None of these