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Prove: $$ \left. \int_{-\infty}^{\infty}\frac{df(t)}{dt}\phi(t)dt=\frac{-d\phi(t)}{dt}\right|_{t=0} $$ Can anybody do the proof for me? Or at-least how to proceed further?

Thanks in Advance.

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Integrate by parts. – Jazzmaniac 25 mins ago

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