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Homework Help: Derivative of (sin(sin(sin(x))))

  1. Feb 6, 2013 #1
    1. The problem statement, all variables and given/known data

    Derivative of d/dx (sin(sin(sin(x))))

    2. Relevant equations
    Chain Rule twice?

    3. The attempt at a solution

    d/dx Cos(sin(sin(x)))) * Cos(sin(x)) * Cos(x)
    Last edited: Feb 6, 2013
  2. jcsd
  3. Feb 6, 2013 #2


    Staff: Mentor

    yes use the chain rule:


    df/dx = cos(sin(x)) * cos(x)

    your solution looks correct.
  4. Feb 6, 2013 #3
    Well the original problem was f(x) = (sin(sin(sin(x)))), but yes I believe I got it right. Thank you.
  5. Feb 6, 2013 #4


    Staff: Mentor

    I know that but at first I didn't want to give you the answer outright. Later as I reread your post I saw that you had in fact the right answer. Anyway, its helpful to see a simpler example.
  6. Feb 6, 2013 #5
    Oh alrighty! Yea, when I saw the problem I was unsure at first, but then I thought I should do the chain rule. Wasn't too bad now that I think of it. Just wanted to make sure. Thanks!
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