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The function f(x) = xe x(1–x) , x ∈ R, is

1. Increasing in ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 1 , 2 1
2. Decreasing in ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 , 2 1
3. increasing in ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − − 2 1 , 1
4. Decreasing in ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 2 1 , 2 1

Correct answer: Increasing in ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 1 , 2 1

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