
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 23rd, 2012, 07:36 AM  #1 
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: 1,163 Thanks: 32 Math Focus: Theory of analytic functions  Re: Find the n'th derivative of a function Quote:
 
September 23rd, 2012, 07:53 AM  #3 
Global Moderator Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,131 Thanks: 428 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  
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: 532 Thanks: 38 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 
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  
Global Moderator Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,131 Thanks: 428 Math Focus: Calculus/ODEs  Re: Find the n'th derivative of a function Quote:
 

Tags 
derivative, find, function, nth 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Find the derivative of the function (3)  Shamieh  Calculus  7  September 29th, 2013 08:03 PM 
Find the derivative of the Function.  Shamieh  Calculus  6  September 29th, 2013 01:19 PM 
Find the derivative of the Function (2)  Shamieh  Calculus  4  September 27th, 2013 04:22 PM 
Find second derivative of the function  Vasily  Calculus  5  June 11th, 2012 03:21 PM 
Find the derivative of the function.  imcutenfresa  Calculus  1  November 15th, 2009 02:47 PM 