The function \[f(x)={{x}^{-x}},\,(x\,\in \,R)\] attains a maximum value at x = [EAMCET 2002]

The function \[f(x)={{x}^{-x}},\,(x\,\in \,R)\] attains a maximum valu

1.	The function \[f(x)={{x}^{-x}},\,(x\,\in \,R)\] attains a maximum value at x = [EAMCET 2002]
A.	2
B.	3
C.	1/e
D.	1
Answer» D. 1

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The function \[f(x)={{x}^{-x}},\,(x\,\in \,R)\] attains a maximum value at x = [EAMCET 2002]

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