Let \(f\left( x \right) = x{e^{ - x}}\). The maximum value of the function in the interval (\(0,\;\infty\)) is

Let \(f\left( x \right) = x{e^{ - x}}\). The maximum value of the func

1.	Let \(f\left( x \right) = x{e^{ - x}}\). The maximum value of the function in the interval (\(0,\;\infty\)) is
A.	\({e^{ - 1}}\)
B.	\(e\)
C.	\(1\;-\;{e^{ - 1}}\)
D.	\(1\; + \;{e^{ - 1}}\)
Answer» B. \(e\)

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Let \(f\left( x \right) = x{e^{ - x}}\). The maximum value of the function in the interval (\(0,\;\infty\)) is

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