Use Logarithmic Differentiation to Find the Derivative of Y with Respect

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = ( 10 x + 2 ) ^ { x }$$

A) $x \ln ( 10 x + 2 )$
B) $( 10 x + 2 ) ^ { x } \left( \ln ( 10 x + 2 ) + \frac { 1 } { 2 } \right)$
C) $\ln ( 10 x + 2 ) + \frac { 10 x } { 10 x + 2 }$
D) $( 10 x + 2 ) ^ { x } \left( \ln ( 10 x + 2 ) + \frac { 10 x } { 10 x + 2 } \right)$