Find the Derivative of Y with Respect to the Independent $y = \log 9 \left( \frac { x ^ { 2 } } { 4 \sqrt { x + 1 } } \right)$

Multiple Choice

Find the derivative of y with respect to the independent variable.
- $y = \log 9 \left( \frac { x ^ { 2 } } { 4 \sqrt { x + 1 } } \right)$

A) $\frac { 1 } { \ln 9 } \left( \frac { 4 \sqrt { x + 1 } } { x ^ { 2 } } \right)$
B) $\frac { 1 } { \ln 9 } \left( \frac { 2 } { x ^ { 2 } } - \frac { 1 } { 2 \sqrt { x + 1 } } \right)$
C) $\mathrm { e } ^ { 9 } \left( \frac { 4 \sqrt { \mathrm { x } + 1 } } { \mathrm { x } ^ { 2 } } \right)$
D) $\frac { 1 } { \ln 9 } \left( \frac { 2 } { x } - \frac { 1 } { 2 ( x + 1 ) } \right)$