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Nth derivative of a trignometric function

  1. Oct 20, 2006 #1
    The question is uploaded as an attachment.

    By looking at the question, I can see that the number of terms of the derivative of this function is increasing exponentially, but since there's a product involved, I'm having problem finding a pattern..But i can see it has something to do with the odd/eveness of the order of derivative.

    Any help would be appreciated

    Attached Files:

  2. jcsd
  3. Oct 20, 2006 #2
    What usually helps with these problems is writing out the first few derivatives of the function. You should be able to notice the pattern, but until you do, keep differentiating.
  4. Oct 20, 2006 #3


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    Notice that you are only asked for the value of that derivative at x= 0. That pattern might be much easier to spot (and prove) than the general derivative.
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