Uploaded May 2025 | Updated September 2026, 1 hour ago
16 multiple choice problems going over some of the types of problems that AP Calculus students routinely get wrong. These are some key concepts that can get you extra points toward that 5!
Link to pdf: drive.google.com/file/d/1yNfTDZI7jNMit8Wvy1X6TKdC_5vy0K_w/view?usp=sharing
More multiple choice practice: youtube.com/playlist?list=PL6iwkLfBjZixe5jzHd1gOW6e1vDO4hmDA&si=2K-wmMxZZX_L1tDY
Useful page for review: turksmathstuff.com/apreviewvids.html
It's kind of hard coming up with these problems and typing them up, so please excuse any typos! (Especially in the wrong answers...I hardly even look at those.)
Don't read the chapters if you don't want spoilers!
00:00 Intro
00:30 Implicit Differentiation
02:07 Derivatives of arcsine, arccosine, a^u
03:58 u-substitution
05:11 u-substitution
07:02 derivative of piecewise
08:35 2nd FTC
09:40 Average Value, substitution
11:30 Logistic Differential Equation
12:56 Radius of Convergence
14:11 Partial Fractions
16:21 Parametric Second Derivative
18:47 Polar Area
20:15 Integration by Parts (IBP)
21:29 Multiplying Maclaurin/Taylor series
23:36 Arc length
25:16 Conditional convergence
16 multiple choice problems going over some of the types of problems that AP Calculus students routinely get wrong. These are some key concepts that can get you extra points toward that 5!
Link to pdf: drive.google.com/file/d/1yNfTDZI7jNMit8Wvy1X6TKdC_5vy0K_w/view?usp=sharing
More multiple choice practice: youtube.com/playlist?list=PL6iwkLfBjZixe5jzHd1gOW6e1vDO4hmDA&si=2K-wmMxZZX_L1tDY
Useful page for review: turksmathstuff.com/apreviewvids.html
It's kind of hard coming up with these problems and typing them up, so please excuse any typos! (Especially in the wrong answers...I hardly even look at those.)
Don't read the chapters if you don't want spoilers!
00:00 Intro
00:30 Implicit Differentiation
02:07 Derivatives of arcsine, arccosine, a^u
03:58 u-substitution
05:11 u-substitution
07:02 derivative of piecewise
08:35 2nd FTC
09:40 Average Value, substitution
11:30 Logistic Differential Equation
12:56 Radius of Convergence
14:11 Partial Fractions
16:21 Parametric Second Derivative
18:47 Polar Area
20:15 Integration by Parts (IBP)
21:29 Multiplying Maclaurin/Taylor series
23:36 Arc length
25:16 Conditional convergence









![Solving Trig Equations by Equating Arguments
In this video we solve some basic trig equations that have sine and cosine on both sides of the equal sign. The method we use is to manipulate one side until you either have sine on both sides or cosine on both sides, then we just equate the arguments. There are a lot of skills we have to use to be successful here:
1) Finding coterminal angles
2) Cofunction identities
3) ASTC to find signs and reference angles in different quadrants
4) The Unit Circle and what it tells us.
Time stamps:
[00:17] Prerequisite skills
[02:18] Example 1: sin(x) = sin(573) (degrees)
[04:59] Example 2: cos(x) = cos(98) (degrees)
[06:24] Example 3: sin(x) = cos(230) (degrees) Solving Trig Equations by Equating Arguments](https://i.ytimg.com/vi/NMQcYSxGoWM/mqdefault.jpg)
