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Math Help - Proof that Derivative of sech x is -sechtanhx

  1. #1
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    Proof that Derivative of sech x is -sechtanhx

    I was wondering if anyone could help me. I am really stuck on the following question.

    A) How do you show that the derivative of :

    f(x) = sech (x)

    is:

    -sech(x)tanh(x)

    B) Find values of C and D so that Csech(Dx) is a solution of:

    (d^2u)/(dx^2) - u + u^3 = 0


    Any help would be greatly appreciated.
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  2. #2
    MHF Contributor Calculus26's Avatar
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