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windsylph

  • 2 years ago

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

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  1. jenxin
    • 2 years ago
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    (e^-3t)/2 + dirac(t)/6

  2. jenxin
    • 2 years ago
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    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)

  3. jenxin
    • 2 years ago
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    oh wait, nevermind. i misread the bounds

  4. jenxin
    • 2 years ago
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    should just be e^-3t/2 then since when you derive 1/6 you get 0.

  5. windsylph
    • 2 years ago
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    haha okay thanks, just wanted to confirm :D

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