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In order to define the derivative of the (shifted) Dirac delta function, 8'(t-a), the typical method is to use it inside an integral and integrate

In order to define the derivative of the (shifted) Dirac delta function, 8'(t-a), the typical method is to use it inside an integral and integrate by parts, noting that the delta function is zero everywhere except at t = a. Assuming that a > 0, what is [ f(t)8'(t – a)dt Using the definition of the Laplace transform, what is L{8'(t – a)}?

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