Solutions to the 2023 AP Calc AB FRQ

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Big thanks to my Patrons for the full-marathon support!
Ben D, Grant S, Erik S. Mark M, Phillippe S.

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#blackpenredpen #math #calculus #apcalculus

0:00 AP calculus exam is coming!
0:15 Thanks to Brilliant for sponsoring this video
1:13 Q1
15:41 Q2
27:39 Q3 differential equation
43:29 Q4
1:04:30 Q5
1:15:30 Q6

[Samir-zbxk]

Another 1 hour+ calculus marathon with blackpenredpen lets go 🤩

[MATHS_FOR_FUN]

Please sir integrate [2+(x)^½]/[x+(x)^½+1]^2 dx, i don't know how to integrate it 😱

[debdami]

In France, we use only brackets for intervals : [a, b], ]a, b[, ]a, b], [a, b[, the orientation gives the inclusion or exclusion.

[Happy_Abe]

For question 4, you can argue that the right endpoint 8 doesn’t need to be checked. Since f is continuous and for values to the left of x=8 f’>0, so f is increasing up to f(8) so f(8) is larger than the values immediately before it so it can’t be a minimum.

[laksthegamer]

Thank you please do the same for BC people like me too!

[RocketMan]

Awesome video! Next video 2023 AP calc BC FRQ’s please 😊

[dogspaghetti]

Hey man, been watching u for years. Love you and your content :)

[Kuzyou]

why did we applied that formula at 1/c/ isint it mention rate? so why we did not use f(b)-f(a)/b-a

[Careerhumresource]

It's crazy that ive learned calculus from you! Im only 11

[spudhead]

You're making so much content lately, on all levels. I'm not taking exams but I've been teaching myself calculus in my spare time for a while now, mostly from watching your videos, this recent surge in content is doing my progress the world of good. Thank you.

[guilhermerocha]

YAY! Hour long video. I'll spend days watching you do math! thank you

[Ji_munshi_ji]

Ham India se roj dekhte hai aapka class

[parallax]

At 19:25 im 99% sure you need a sign chart just because his velocity decreases to 0 doesn't nessecarily mean it must mean a direction change afaik

[tmann]

I have no idea why you on a white board is my favorite form of learning math. Chalk board even better but I understand having the question in plain view is preferable which these long questions! 😊

[thomasblake]

Great video, I was wondering whether parts always assumes u and v’ to be the same, as if you had to switch which variable was u and v’ then the DI method would not work😅

[capnbug]

I got sick a day before the test, and the day before that, my parents and I got locked out of the house after going on a short trip for my brothers graduation. Since i went to the ARC at my school, i was able to get extra time, so i was so so lucky. I did fine without extra time on our mock exams but being sick made it so much worse.

Also i remember the shock of not finding a volume question lol.

[nathanjiang]

I took the BC exam last year! nice to see some familiar questions since AB and BC share questions and are taken at the same time (and yes, I got a 5).

[tacocat_]

23:53 there’s no need to find the velocity at t=60 since you already know it’s gonna be negative because you found that Stephen changes direction at t=56 seconds

[tomdiamonds]

It’s funny I remember doing these questions when I took the ap test. Great video good luck to everyone on the ap test ❤

[kylechan]

I have a question for the AP Calculus BC test. Can you use the D I method on the AP test or would they mark you off? Thanks!