Nth derivative of a trignometric function

  • Thread starter bluevires
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  • #1
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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
 

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Answers and Replies

  • #2
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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.
 
  • #3
HallsofIvy
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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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