Use Logarithmic Differentiation to Find the Derivative of Y $$y = \sqrt { \frac { x } { x + 8 } }$$

question 543

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $$y = \sqrt { \frac { x } { x + 8 } }$$

• A) \(4 \sqrt { \frac { x } { x + 8 } }\)
• B) \(\left( \frac { 1 } { 2 } \right) ( \ln x - \ln ( x + 8 ) )\)
• C) \(\left( \frac { 1 } { 2 } \right) \left( \frac { 1 } { x } - \frac { 1 } { x + 8 } \right)\)
• D) \(\left( \frac { 1 } { 2 } \right) \sqrt { \frac { x } { x + 8 } } \left( \frac { 1 } { x } - \frac { 1 } { x + 8 } \right)\)