$\text { Find the derivative of the function } y = \ln \left( x \sqrt { x ^ { 2 } + 7 } \right) \text {. }$

question 65

Multiple Choice

$\text { Find the derivative of the function } y = \ln \left( x \sqrt { x ^ { 2 } + 7 } \right) \text {. }$

• A) \(\frac { x } { \sqrt { x ^ { 2 } + 7 } } \ln ( x ) + \frac { 1 } { x } \ln \left( \sqrt { x ^ { 2 } + 7 } \right)\)
• B) \(\frac { 1 } { x \sqrt { x ^ { 2 } + 7 } }\)
• C) \(\frac { 1 } { x } + \frac { 1 } { \sqrt { x ^ { 2 } + 7 } }\)
• D) \(\frac { 1 } { x } + \frac { x } { x ^ { 2 } + 7 }\)
• E) \(\frac { x } { x + \sqrt { x ^ { 2 } + 7 } }\)

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