Use Logarithmic Differentiation to Find the Derivative of Y $$y = \sqrt { x ( x + 3 ) }$$

question 380

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $$y = \sqrt { x ( x + 3 ) }$$

• A) \(\left( \frac { 1 } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)\)
• B) \(\left( \frac { \sqrt { x ( x + 3 ) } } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)\)
• C) \(\left( \frac { \ln x + \ln ( x + 3 ) } { 2 } \right)\)
• D) \(\sqrt { x ( x + 3 ) } ( 2 x + 3 )\)

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