What cubic Taylor Polynomial best approximates near x = 2

take the derivative three times, plug in the value 2 for x in each derivative, divide that by i! ...

Am I correct?

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- Jun 13th 2009, 05:33 PMdiroga[SOLVED] Taylor Polynomial approximation
What cubic Taylor Polynomial best approximates near x = 2

take the derivative three times, plug in the value 2 for x in each derivative, divide that by i! ...

Am I correct? - Jun 13th 2009, 05:38 PMapcalculus
Maple says

- Jun 13th 2009, 06:31 PMdiroga
- Jun 13th 2009, 06:40 PMarbolis
- Jun 13th 2009, 07:47 PMapcalculus
Wolfram Alpha does a pretty neat job with these kinds of tasks: Type expand 35+ 59(x-2)+ 36(x-2)^2+ 10(x-2)^3 and it spits out the expanded form.

Direct link:

http://www76.wolframalpha.com/input/?i=expand+35+%2B+59(x-2)+%2B+36(x-2)^2+%2B+10(x-2)^3 - Jun 13th 2009, 07:59 PMarbolis
- Jun 13th 2009, 08:22 PMdiroga
Thanks everybody. Is there a way I can mark this as solved?

- Jun 13th 2009, 08:23 PMarbolis
- Jun 13th 2009, 08:39 PMdiroga
so thats what that tab is for :)