a) Show that (Hint: Integrate by parts.)b) Use the formula in (a) to show thatl5d(t)6 =
Chapter 12, Problem 12.12(choose chapter or problem)
a) Show that
\(\int_{-\infty}^{\infty} f(t) \delta^{\prime}(t-a) d t=-f^{\prime}(a)\).
(Hint: Integrate by parts.)
b) Use the formula in (a) to show that
\(\mathscr{L}\left\{\delta^{\prime}(t)\right\}=s\).
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