Uploaded November 2023 | Updated September 2026, 1 hour ago
Link to problems: drive.google.com/file/d/1dpOI801hkh3FehkWWV5rkOUn3MGfmgVj/view?usp=sharing
Link to playlist: youtube.com/playlist?list=PL6iwkLfBjZiztQ-9heM-_mQzDI3t85nJy
Link to Calc AB-level Problem Sets: youtube.com/playlist?list=PL6iwkLfBjZixpMIxRGIO2j3Ku8ZSW5wf9
Topics: (Descriptions from CB AP Calculus CED)
10.11: Finding Taylor Polynomial Approximations of Functions
10.15: Representing Functions as Power Series
10.11: Finding Taylor Polynomial Approximations of Functions
7.7: Finding Particular Solutions Using Initial Conditions and Separation of Variables
3.4: Differentiating Inverse Trigonometric Functions
Full list of problems/CED correlations for all BC problem sets: docs.google.com/spreadsheets/d/1vAk1aGAB19LM8BB4xzpLC7AVt4EKOk8_o9rFfMN23IE/edit?usp=sharing
Any calculator work is done on the TI-Nspire CX II CAS. If I use the solve function and you don’t have a CAS, you can use graphing and intersection points instead.
*AP® is a trademark registered and owned by the College Board, which was not involved in the production of, and does not endorse, any of my videos or work.
Link to problems: drive.google.com/file/d/1dpOI801hkh3FehkWWV5rkOUn3MGfmgVj/view?usp=sharing
Link to playlist: youtube.com/playlist?list=PL6iwkLfBjZiztQ-9heM-_mQzDI3t85nJy
Link to Calc AB-level Problem Sets: youtube.com/playlist?list=PL6iwkLfBjZixpMIxRGIO2j3Ku8ZSW5wf9
Topics: (Descriptions from CB AP Calculus CED)
10.11: Finding Taylor Polynomial Approximations of Functions
10.15: Representing Functions as Power Series
10.11: Finding Taylor Polynomial Approximations of Functions
7.7: Finding Particular Solutions Using Initial Conditions and Separation of Variables
3.4: Differentiating Inverse Trigonometric Functions
Full list of problems/CED correlations for all BC problem sets: docs.google.com/spreadsheets/d/1vAk1aGAB19LM8BB4xzpLC7AVt4EKOk8_o9rFfMN23IE/edit?usp=sharing
Any calculator work is done on the TI-Nspire CX II CAS. If I use the solve function and you don’t have a CAS, you can use graphing and intersection points instead.
*AP® is a trademark registered and owned by the College Board, which was not involved in the production of, and does not endorse, any of my videos or work.







![Calc BC Taylor Polynomial FRQ Practice
In this video we solve a practice Taylor Series/Polynomial (Maclaurin series/polynomial actually) Free Response Question. One of the highlighted skills students struggle with is manipulating/working with series/polynomials, so this goes over that idea. We do a tangent line problem, write a new polynomial from a given polynomial, and find the coefficient of a specific term. This is material from Unit 10 of AP Calculus BC.
[01:00] Tangent line problem
[04:36] New polynomial through integration
[08:52] Finding coefficient of x^3 in Maclaurin series/polynomial
Find tons of AP Calculus Review videos in this playlist: https://www.youtube.com/playlist?list=PL6iwkLfBjZiyOprILurQRNoI1M0ACE0ab
All of my AP Calculus FRQ Solution Videos: https://www.youtube.com/playlist?list=PLA83584C88AB6F0AE
Check out all of my notes with links to videos: https://turksmathstuff.com/ Calc BC Taylor Polynomial FRQ Practice](https://i.ytimg.com/vi/UzSgJ_F3RJA/mqdefault.jpg)


