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September 23rd, 2012, 07:36 AM  #1 
Member Joined: Aug 2011 From: Alabama Posts: 93 Thanks: 0  Find the n'th derivative of a function
The question asks: Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs. the function is So I need to find the function So if I start taking the derivative I get: so on and so forth. I see the pattern, but I really don't know the notation to write it out as one function. 
September 23rd, 2012, 07:42 AM  #2  
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,165 Thanks: 33 Math Focus: Theory of analytic functions  Re: Find the n'th derivative of a function Quote:
 
September 23rd, 2012, 07:53 AM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,131 Thanks: 437 Math Focus: Calculus/ODEs  Re: Find the n'th derivative of a function
Yes, the factorial is one way to go. Another is the permutation function: 
September 23rd, 2012, 01:07 PM  #4  
Member Joined: Aug 2011 From: Alabama Posts: 93 Thanks: 0  Re: Find the n'th derivative of a function Quote:
 
September 23rd, 2012, 01:24 PM  #5 
Senior Member Joined: Jul 2012 From: DFW Area Posts: 590 Thanks: 69 Math Focus: Electrical Engineering Applications  Re: Find the n'th derivative of a function
Where means to take the next derivative. This notation is NOT standard and is used for illustration only: 
September 23rd, 2012, 01:47 PM  #6 
Member Joined: Aug 2011 From: Alabama Posts: 93 Thanks: 0  Re: Find the n'th derivative of a function
Oh! so it's just ?

September 23rd, 2012, 02:00 PM  #7  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,131 Thanks: 437 Math Focus: Calculus/ODEs  Re: Find the n'th derivative of a function Quote:
 

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