Calculus BC – 10.11 Finding Taylor Polynomial Approximations of Functions

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This lesson follows the Course and Exam Description recommended by College Board for *AP Calculus. On our website, it is found under Calculus Version #1.

*AP® is a trademark registered and owned by the College Board, which was not involved in the production of, and does not endorse, our videos or our website.
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Your videos are saving my calculus life! I signed up for the BC exam but am only taking the AB course, so I had to fill in the gaps in units. Your videos clearly and concisely explained these series and convergence/divergence tests to a level I’ve never seen anywhere else on YouTube. Thanks for the hard work, we definitely appreciate it!

nikhilveeramachaneni
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Your videos have literally taught me the whole semester in an afternoon, you’re the best maths teacher I have ever listened to :)

blanca
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Best video on Taylor Polynomials! Keep explaining the “whys” behind the concepts, super helpful and rare these days 😊😊

sherryypeng
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this video literally saves my calc bc test

huberyliu
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Important thing of note is the reason that factorial is there. That is because we do an nth integral of the slope we have found, we're essentially just adding a function of which nth derivative == nth derivative of the original function. Thinking of it like that helped me a lot, so it might help others as well.

AdjectiveBlazkowicz
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Thanks for the practice packets I just used this to confirm my answers on the beginning of the practice packet provided on the website. I am currently nearing the end of Calculus BC and want to thank you for this extra practice. ✌✌✌✌

shrubskrub
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All my homies hate taylor polynomial approximations




but in all seriousness great video :. )

lwcky
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Very helpful, thanks so much!

is the chipmunk voice in example 2 (around 15:00) intended?

fluffy_kitty