
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 12th, 2012, 10:30 AM  #1 
Joined: Apr 2012 Posts: 106 Thanks: 0  Taylor polynomial with two variables
Dear all, I need to approximate the following term: with a Taylor polynomial of the first degree. How do we do that? 
June 12th, 2012, 11:58 AM  #2 
Global Moderator Joined: May 2007 Posts: 5,123 Thanks: 296  Re: Taylor polynomial with two variables
Expand each factor using binomial {(1+.02)^3 and (1.03)^2} multiply out and keep the first nonzero term after 1.

June 12th, 2012, 08:15 PM  #3 
Global Moderator Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,131 Thanks: 431 Math Focus: Calculus/ODEs  Re: Taylor polynomial with two variables
Let The differentials of the independent variables are: The total differential of the function is: A Taylor polynomial of the first degree is linear, so we may use: Let: 
June 13th, 2012, 01:05 AM  #4 
Joined: Apr 2012 Posts: 106 Thanks: 0  Re: Taylor polynomial with two variables
Thanks a lot!


Tags 
polynomial, taylor, variables 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Need help taylor polynomial , no x value  k31453  Calculus  1  May 18th, 2013 01:06 AM 
Taylor polynomial with three variables  Vasily  Calculus  2  January 13th, 2013 12:08 PM 
Twovariable Taylor polynomial  Vasily  Calculus  4  June 15th, 2012 08:16 PM 
Taylor Polynomial  Fantini  Calculus  4  October 7th, 2010 08:59 AM 
Need help with Taylor Polynomial  Carmen  Calculus  1  October 24th, 2009 03:52 PM 