Find the Derivative Of $f ( x ) = \frac { x } { x ^ { 2 } + 3 }$

question 56

Multiple Choice

Find the derivative of $f ( x ) = \frac { x } { x ^ { 2 } + 3 }$ .

• A) \(\frac { 1 } { 2 x + 3 }\)
• B) \(\frac { - 3 + x ^ { 2 } } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• C) \(\frac { 3 - x ^ { 2 } } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• D) \(\frac { 3 - x ^ { 2 } } { \left( x ^ { 2 } + 3 \right) }\)
• E) \(\frac { 3 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• F) \(\frac { 1 } { 2 x }\)
• G) \(\frac { 3 - x } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• H)None of these

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