$\text { Find the derivative of the function } f ( x ) = \frac { e ^ { x } } { 1 + x ^ { 2 } } \text {. Simplify your answer. }$

question 191

Multiple Choice

$\text { Find the derivative of the function } f ( x ) = \frac { e ^ { x } } { 1 + x ^ { 2 } } \text {. Simplify your answer. }$

• A) \(\frac { - e ^ { x } \left( x ^ { 2 } - 2 x + 1 \right) } { \left( 1 + x ^ { 2 } \right) ^ { 2 } }\)
• B)\(\frac { e ^ { x } \left( x ^ { 2 } - 2 x + 1 \right) } { \left( 1 + x ^ { 2 } \right) }\)
• C)\(\frac { e ^ { x } \left( x ^ { 2 } - 2 x + 1 \right) } { \left( 1 + x ^ { 2 } \right) ^ { 2 } }\)
• D)\(\frac { e ^ { x } \left( x ^ { 2 } + 2 x + 1 \right) } { \left( 1 + x ^ { 2 } \right) ^ { 2 } }\)
• E) \(\frac { e ^ { x } } { 2 x }\)

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