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Differentiation Problem about a hyperbolic function

  1. Aug 5, 2011 #1
    1. The problem statement, all variables and given/known data

    How could one apply differentiation formulas on this one:

    [itex]\partial^{2}\left(2sinh(nx)\div\sqrt{sinh(2L)-2L}\right)\div\partial x^{2}[/itex]


    2. Relevant equations



    3. The attempt at a solution

    is this differentiation formula enough to differentiate:

    4.gif
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 5, 2011 #2

    Mark44

    Staff: Mentor

    Take the partial with respect to x of your expression, and then take the partial with respect to x of the result.

    Here is your problem presented in a more usual form:
    [tex]\frac{\partial^2}{\partial x^2} \left(\frac{2sinh(nx)}{\sqrt{sinh(2L)-2L}}\right)[/tex]
     
  4. Aug 5, 2011 #3

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Only the numerator has an x in it. Why use the quotient rule?
     
  5. Aug 5, 2011 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    What is the derivative of A sinh(nx)?
     
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