Find the Derivative Of $f ( x ) = \frac { 1 + x } { 5 + 6 x + 7 x ^ { 2 } }$

Multiple Choice

Find the derivative of $f ( x ) = \frac { 1 + x } { 5 + 6 x + 7 x ^ { 2 } }$ .

A) $- \frac { 1 + 7 x } { \left( 5 + 6 x + 7 x ^ { 2 } \right) ^ { 2 } }$
B) $- \frac { 1 + 14 x + 7 x ^ { 2 } } { \left( 5 + 6 x + 7 x ^ { 2 } \right) ^ { 2 } }$
C) $- \frac { 11 + 26 x + 21 x ^ { 2 } } { \left( 5 + 6 x + 7 x ^ { 2 } \right) ^ { 2 } }$
D) $\frac { 1 } { 6 + 14 x }$