On [1, e] the greatest value of \[{{x}^{2}}\log x\] [AMU 2002]

1.	On [1, e] the greatest value of \[{{x}^{2}}\log x\] [AMU 2002]
A.	\[{{e}^{2}}\]
B.	\[\frac{1}{e}\log \frac{1}{\sqrt{e}}\]
C.	\[{{e}^{2}}\log \sqrt{e}\]
D.	None of these
Answer» B. \[\frac{1}{e}\log \frac{1}{\sqrt{e}}\]

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On [1, e] the greatest value of \[{{x}^{2}}\log x\] [AMU 2002]

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