Find the Absolute Maximum of the Function $f ( x ) = \frac { e ^ { - x } } { 1 + x ^ { 2 } }$

question 41

Multiple Choice

Find the absolute maximum of the function $f ( x ) = \frac { e ^ { - x } } { 1 + x ^ { 2 } }$

• A) \(\frac { 4 } { 3 }\)
• B)1
• C) \(e ^ { - 1 }\)
• D) \(e ^ { - \frac { 1 } { 2 } }\)
• E)2
• F) \(\frac { 1 } { 2 }\)
• G) \(\frac { 3 } { 2 }\)
• H)No absolute minimum