Use Logarithmic Differentiation to Find the Derivative of Y $$y = \frac { x \sin x } { \sqrt { x + 1 } }$$

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $$y = \frac { x \sin x } { \sqrt { x + 1 } }$$

A) $\frac { x \sin x } { \sqrt { x + 1 } } \left( \frac { 1 } { x } + \cot x - \frac { 1 } { 2 x + 2 } \right)$
B) $\left. \frac { x \sin x } { \sqrt { x + 1 } } \ln x + \ln \sin x - \frac { 1 } { 2 } \ln ( x + 1 ) \right)$
C) $\frac { 1 } { x } + \cot x - \frac { 1 } { 2 x + 2 }$
D) $\frac { 1 } { 2 } \left( \frac { 1 } { x } + \frac { 1 } { \sin x } + \frac { 1 } { x + 1 } \right)$