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  • $\begingroup$ And using that notation and the duality property, how could we prove the duality of the differentiation property for instance: the Fourier Transform of $-jt x(t)$ is $\frac{dX(j\omega)}{d\omega}$ $\endgroup$ Commented Feb 17, 2018 at 1:58
  • $\begingroup$ Or would this require another post? $\endgroup$ Commented Feb 17, 2018 at 2:01
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    $\begingroup$ @0MW: I don't think that the fact $X(t)\Longleftrightarrow 2\pi x(-\omega)$ helps a lot in deriving the differentiation property. I think it's easier to derive it directly. $\endgroup$ Commented Feb 18, 2018 at 16:07