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The maximum value of the function f(x)= xe^(-x)

The maximum value of the function f(x)= xe^(-x)
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5 votes
The maximum value of the function f(x)= xe^(-x)

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User Whispers
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7.7k points

1 Answer

4 votes
f(x) = xe⁻ˣ
f(x)' = x* -e⁻ˣ + e⁻ˣ

f(x)' = 0 => x = 1
f(1) = 1/e = 0.368
answered
User Jiahao
by
8.1k points
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