2nd derivative -erf(sqrt(pi)/2*x) - Wolfram|Alpha

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Derivative:

link to /input/?i=1%2F2+e%5E%28-%28%CF%80+x%5E2%29%2F4%29+%CF%80+x&lk=1&a=ClashPrefs_*Math-
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Alternate form assuming x is real:

link to /input/?i=%28%CF%80+x%29%2F%282+%28e%5E%28%CF%80+x%5E2%29%29%5E%281%2F4%29%29&lk=1&a=ClashPrefs_*Math-
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Series expansion at x=0:

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Indefinite integral:

link to /input/?i=-e%5E%28-%28%CF%80+x%5E2%29%2F4%29&lk=1&a=ClashPrefs_*Math-
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