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The function $f(t)$ is a convolution of $t^{2}$ with $\exp \left(-t^{2} / 2\right) / \sqrt{2 \pi}$. Its derivative is

  1. $2 t$
  2. $t^{2}$
  3. $2 t+t e^{-t^{2} / 2}$
  4. Does not have a simple closed form expression
  5. None of the above
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