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- เผยแพร่เมื่อ 6 ก.พ. 2025
- Link to series error video: • Review of Lagrange Err...
All of my review videos for BC: • AP Calculus Review Vid...
All of my FRQ videos: • AP Calculus Free Respo...
In this video we do a deep dive into why you should not skip the series FRQ on the AP Calculus BC exam. I go through 2015, 2016, 2017, 2018, 2019, 2021, 2022, and 2023’s series question and show how similar they all are. I try to highlight that if you know Taylor’s formula, you can get points! If you know how to integrate and differentiate using the power rule, you can get points! If you know how to multiply polynomials, you can get points! If you can use the ratio test, you can get points! Never give up on free points!
#apcalculusbc #apexams
You know whats crazy, every single question I have your channel has the answer for. I used your vids for AB and got a 5 and now these resources for BC are just as solid, I know you're constantly getting comments like this but I really appreciate videos like these, our calc teacher doesn't give in depth information about the exams like this, thank you!!
I appreciate the compliment. Lots of my videos get very few views so I'm happy to know they help people learn. Good luck on the exam!
vid literally got recommended to me 8 hours before the test :( so helpful
Good luck!
Wish I found this channel way sooner 💀
kills me to hear people say that and every year i get the comment a lot. the algorithm just doesn't love my videos for whatever reason. good luck on the exam!
Today morning after the practice test I had a mental breakdown becoz of the series and reimann questions and now I think I'll ace the exam. All because of your notes and vids your explanations are godsent THANK YOU !!:)
you got this!!! good luck!
You are saving my calculus career oh my gosh!! Ive done every single AP question until like 2004 but these are always a bit harder for me because they take me the longest time!
Before the video: Well Im going into this exam without any series knowledge. (Yes we covered it in school, but I understood only like 10%)
After the video: tbd lol
Turk can you please do a final revision for the ap calc ab please !
How much would you charge if you helped tutor me for an hour or two in prep for the bc test on monday, i feel extremely cooked lol
bro just watch his videos
you are my hero
lagrange error is pretty confusing, but other than that most of taylor series stuff is pretty easy
It’s not too bad, really. Basically just looks like the first term omitted but you need to find M, which they have to give you somehow. I have a bunch of videos on that if you search it up. Good luck!
Do you need to simplify your work such as 9:22 or can you leave it as is
You can leave as is but sometimes the manipulations on additional parts are really hard if you haven’t simplified some. For example I would never leave two factorials if I can simplify. Similarly I hate leaving a product to a power.
when you are finding the series of two functions multiplied together, how do you know when to just multiply one function by the series of the other function to find the overall series, and when to multiply both series of the function to find the overall series. For example, question 6 of 2015 and question 6 of 2018 in the video?
For 17:12 can i say ((-1)^n * x^(n+1))/(n+1)(n)?
Basically, its true but i think it maybe would start on the wrong n value if that makes sense (ie you would start at n=-1 or sum to find the taylor poly)
Nvrmind... You answered my question 3 seconds later. Thx
Yes. I think the official guidelines might even have used that. As long as it gives correct new terms in the pattern it doesn’t matter what it starts with.
Is just saying harmonic or alternating harmonic accepted as proof of divergence/convergence on the exam?
Yes. If it’s harmonic or alternating harmonic those are known to diverge and converge, respectively
for the first four non zero terms and the general term can't I leave it unsimplified?
you can, but often it's easier to work with if you simplify a bit. ratio test, in particular, is way easier to use on a simplified nth term. good luck! you got this!
i love you turksvids
How did you find the second and third derivatives if that wasn’t given at 7:25?
I plugged into the formula they gave for the (n+1)st derivative. I talked my way through it in the video.
@@turksvidsI know you said you plugged in, but I don’t understand how you can plug into the -n x f^n and then get a value. Like when n=3, I get -3 x f^3(0). Firstly, how did you get -2 x f^2(0) - I know you brushed over it in the video but I didn’t quite catch what you meant. And then also how did you get your value for f^2(0)
f(0) and f'(0) are given. to find the (n+1)st derivative you do -n*f^(n)(0), so if you're finding the second derivative you subtract 1 to get n = 1, plug that in to get -1*f'(0). for the third derivative n+1 = 3, so n = 2, you get -2*f''(0), and you keep going from there. So if you're finding the 12th derivative, for example, then you plug n = 11 into the formula they give you. Not sure what level of depth I went into on it, but here's the solution I made for the whole FRQ: th-cam.com/video/slYP_jdUa6s/w-d-xo.html
@@turksvidsawesome thank you so much I’ll check that video out
bro i alway skip these thank u for postjing this video
You’re definitely the target audience then! There’s usually like 4 to 6 pretty attainable points even for people who hate series because Taylor series are way more straight forward than all the series tests. Good luck!