Find the derivative of $y = x e^{-x^2}$.

University of Ilorin MTH102 2025A past question

1. $e^{-x^2}(1 - 2x^2)$
2. $2x e^{-x^2}$
3. $-2x e^{-x^2}$
4. $e^{-x^2}(2x^2 - 1)$

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