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Homework Help: Linerization of square root of sin(2x)

  1. Feb 18, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the linerization of square root of sin(2x)

    2. Relevant equations

    3. The attempt at a solution
    I don't even know how to start. What is linearization?

  2. jcsd
  3. Feb 18, 2010 #2


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    It's just coming up with a linear approximation for the function about some point, that is, finding the first-order Taylor polynomial of the function expanded about a given point.
  4. Feb 19, 2010 #3


    Staff: Mentor

    Assuming you want to use a linear approximation of the function for some x near a, the linearization is
    f(x) [itex]\approx[/itex] f(a) + f'(a)(x - a)

    That's what vela was talking about when he mentioned the first-order Taylor polynomial. The "linear" part means that x appears to the first power only -- no higher powers.

    BTW, this really seems like a calculus problem, so you probably should have posted it in the Calculus & Beyond section.
    Last edited: Feb 19, 2010
  5. Feb 22, 2010 #4
    Hi vela and Mark

    sorry I don't know that linearization is related to equation of tangent, so it's related to differential. thanks a lot !!
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