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Differentiate damped sinusoid

  1. Nov 6, 2007 #1
    Hi all,

    I'm trying to sketch a unit response of a damped sinusoid an (unnderdamped system). I presume I'll have to differentiate the function such as the following (1 + 1.25e^(-6t)cos(8t+143))u(t) and then find the turning points of the function and then sketch it.

    However I'm encountering problems in differentiating it properly and finding the two critical points, I was therefore hoping if any of you guys out there would know how to sketch the function either by inspection or any other method.

  2. jcsd
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