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Homework Help: Derivative of sinc(x)

  1. Jul 1, 2010 #1
    1. The problem statement, all variables and given/known data

    find y(t) = d(x(t))/dt

    where x(t) = 23sin(at)/(at)

    where a = 147*pi*2

    2. Relevant equations

    3. The attempt at a solution

    y(t) = 23/a * [ (t^-1) * sin(at) ]
    = 23/a * [ -(t^-2) * sin(at) + (t^-1) * a * cos(at) ]

    is this correct? my derivatives are old and rusty.
  2. jcsd
  3. Jul 1, 2010 #2


    User Avatar
    Science Advisor

    First, don't write "= " between different things. y= the first line but not the second. Yes,
    y'= (23/a)[-(t^-2 sin(at)+ t^-1 a cos(at)]
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