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June 12th, 2012, 10:30 AM   #1
 
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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?
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June 12th, 2012, 11:58 AM   #2
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Re: Taylor polynomial with two variables

Expand each factor using binomial {(1+.02)^3 and (1-.03)^2} multiply out and keep the first non-zero term after 1.
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June 12th, 2012, 08:15 PM   #3
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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:







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June 13th, 2012, 01:05 AM   #4
 
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Re: Taylor polynomial with two variables

Thanks a lot!
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