Use Logarithmic Differentiation to Find the Derivative of Y $y = \sin x \sqrt { 5 x + 2 }$

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $y = \sin x \sqrt { 5 x + 2 }$

A) $\sin x \sqrt { 5 x + 2 } \left( \frac { 1 } { \sin x \cdot \cos x } + \frac { 5 } { 5 x + 2 } \right)$
B) $\sin x \sqrt { 5 x + 2 } \left( \cot x + \frac { 5 } { 2 ( 5 x + 2 ) } \right)$
C) $\frac { 10 \cot x + 9 \cot x } { 5 x + 4 }$
D) $\sin x \sqrt { 5 x + 2 } \left( \ln \sin x + \frac { 1 } { 2 } \ln ( 5 x + 2 ) \right)$