Inflection point of function y = Xe ^ (- x ^ 2)

y '=e^(-x^2)-2x^2e^(-x^2)
y ''= -2xe^(-x^2)-4xe^(-x^2)+4x^3e^(-x^2) ,
Let y '' = 0, then - 2x-4x + 4x ^ 3 = 0,
The solution is x = 0 or x = ± √ 6 / 2,

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