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Find the Interval on Which f(x)=xe−xf ( x ) = x e ^ { - x }

Question 161

Multiple Choice

Find the interval on which f(x) =xe−xf ( x ) = x e ^ { - x } is increasing.


A) (−∞,1]( - \infty , 1 ]

B) (−∞,2]( - \infty , 2 ]
C) (−∞,3]( - \infty , 3 ]
D) [1,2][ 1,2 ]
E) [1,e][ 1 , e ]
F) (−∞,e]( - \infty , e ]

G) (−∞,∞) ( - \infty , \infty )

H) (−∞,1e) \left( - \infty , \frac { 1 } { e } \right)

Correct Answer:

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