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Derivative of ((-1/6)e^(-3t)+(1/6))*u(t), where u(t) is the unit step function? #signals and systems

Mathematics
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(e^-3t)/2 + dirac(t)/6
just do the first part, seperately, and you know that the derivative of the unit step is just the dirac delta function. since integral of dirac delta = u(t)
oh wait, nevermind. i misread the bounds

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should just be e^-3t/2 then since when you derive 1/6 you get 0.
haha okay thanks, just wanted to confirm :D

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