Find the Derivative of the Function $$g ( x ) = \int _ { 1 } ^ { x } \frac { 1 } { t ^ { 2 } + 2 } d t$$

Multiple Choice

Find the derivative of the function.
$$g ( x ) = \int _ { 1 } ^ { x } \frac { 1 } { t ^ { 2 } + 2 } d t$$

A) $- \frac { 2 x } { \left( x ^ { 2 } + 2 \right) ^ { 2 } }$
B) $- \frac { 2 } { 9 }$
C) $\frac { 1 } { 3 }$
D) $\frac { 1 } { x ^ { 2 } + 2 }$