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Let f(x)=x^(2)e^(-2x),x gt 0. The maximu...

Let `f(x)=x^(2)e^(-2x),x gt 0.` The maximum value of f(x) is

A

0

B

`(1)/(e^(2))`

C

`(1)/(4e^(2))`

D

`(1)/(2e)`

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The correct Answer is:
B
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