Thread: [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?

Maple says

Originally Posted by apcalculus

Maple says

I think that maybe expanded and simplified.

Originally Posted by diroga

I think that maybe expanded and simplified.

Yes and are equal. According to Mathematica.

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

Originally Posted by apcalculus

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

Thanks. I tried it but instead of typing "Expand" I typed "simplify" and I didn't get anything interesting.

Thanks everybody. Is there a way I can mark this as solved?

Originally Posted by diroga

Thanks everybody. Is there a way I can mark this as solved?

Yes. Look at the top of the thread : "Thread Tools", then "Mark this thread as solved".

so thats what that tab is for