Find the Derivative of the Function $$f ( x ) = \frac { 2 \sqrt { x } } { x ^ { 2 } + 9 }$$

question 127

Multiple Choice

Find the derivative of the function.
$$f ( x ) = \frac { 2 \sqrt { x } } { x ^ { 2 } + 9 }$$

• A)
• \(\frac { - 3 x ^ { 2 } + 9 } { \sqrt { x } \left( x ^ { 2 } + 9 \right) ^ { 2 } }\)
• B)
• \(\frac { 1 } { 2 x \sqrt { x } \left( x ^ { 2 } + 9 \right) }\)
• C) \(\frac { 1 } { 2 x \sqrt { x } }\)
• D) \(\frac { - 3 x ^ { 2 } + 9 } { \sqrt { x } \left( x ^ { 2 } + 9 \right) }\)