AP Calculus AB and BC Unit 2 Review [Differentiation: Definition and Basic Derivative Rules]

► My AP Calculus AB and BC Ultimate Review Packets:
AB: bit.ly/KristaAB
BC: bit.ly/KristaBC
Before you watch this video all about Unit 2 of AP Calculus AB/BC, Differentiation: Definition and Basic Derivative Rules, make sure you get the study guide that goes with it. The study guide is part of the Ultimate Review Packet, which I made to help you study for AP Calculus AB and BC. It has summary videos, study guides, and practice questions, for every unit, plus AP practice exams.
Skip to section:
0:00 - Introduction
0:53 - 2.1 Defining Average and Instantaneous Rates of Change at a Point
5:39 - 2.2 Defining the Derivative of a Function and Using Derivative Notation
10:35 - 2.3 Estimating Derivatives of a Function at a Point
14:34 - 2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
20:10 - 2.5 Applying the Power Rule
22:05 - 2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple
23:55 - 2.7 Derivatives of cosx, sinx, ex, and lnx
26:35 - 2.8 The Product Rule
31:07 - 2.9 The Quotient Rule
33:31 - 2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
36:14 - Summary
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out my website // www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
FACEBOOK // / kristakingmath
INSTAGRAM // / kristakingmath

[@kristakingmath]

This is all your big derivative rules, so Unit 2 is super important! #productrule #quotientrule 💪

[@coast4552]

Never have I ever seen a math youtuber explain concepts so clearly with just the right amount of detail. As a high school student trying to get ahead in AP Calc BC this is a gold mine.

[@kristakingmath]

I'm so glad I can help, coast!

[@alicegonzalez8234]

pov: you're cramming for the exam

[@CS55CL16]

I have a unit quiz this week and I know absolutely nothing about derivatives 😭😭

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No definitely not 😳🤚

[@jacobmartinez4031]

One year later and you're still absolutely right

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pov: ur comment gets 69 likes

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Pov your teen is asking for help with homework

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fun fact: i bought your course from udemy to get me through calc 1 and now I’m a business analyst! thank you for having an impact on my life!

[@kristakingmath]

Oh my gosh, awesome!! Thank you so much for letting me know, William, that makes my day! And congratulations on working your way through math and starting your career as a business analyst... that's such a great field right now, so you've got a great future ahead of you! 👏👏

[@angiegarcia5094]

to all those wondering, I never paid attention to my class, I had 0 calc knowledge before watching these videos. I used to fail every test but I had this gut feeling to show my teacher that I am capable so in 2 weeks, I watched her calc videos from chapter 1-8 and watched similar videos, by 2 weeks I PASSED AP CALC WITH 3. maybe some wants 4/5 but remember I had 0 prior knowledge but still Krista helped me passed AP CALC. Trust her teaching.

[@kristakingmath]

Congrats, selena! I'm so glad I was able to help! :)

[@albertm9793]

im 6 months late but im in this exact same situation is watching the videos all u did or study the book and other resources

[@lindsaygraham6]

This is the most clean, neat, and easy-to-understand explanation I have ever seen of calculus. Seriously, thank you so much!

[@chopper2754]

Why doesn't this have more views?! Really well made. Thank you for the review!

[@kristakingmath]

You're welcome, Frantic, I'm so glad it helped! :D

[@thatgaykidmatt]

Thank you so much for these! I am returning to school for an MS/PhD program in applied mathematics and these are perfect refreshers for a placement test.

[@3MKM1HACKER]

Welcome back to KZbin thanks to your videos i survived university (graduating this month) and made my life so much easier so, thank you :)

[@kristakingmath]

That's awesome!! Congratulations on graduating!!!! 💪💪

[@jemcel0397]

Welcome back! Where ya have been? Missed your vids alot Krista. I’m done with my math courses two years ago. You’re one of the KZbinrs out there who helped me understand mathematics ☺️

[@kristakingmath]

Yay! Thank you! I'm so glad I was able to help, and I'm happy to be back! And congrats on finishing up all your math courses, that's awesome!! :D

[@ImraanHossain]

Appreciate it! taking this in highschool and have a final tomorrow and this is really helpful!

[@strollas]

1.75 speed is a blessing. you can still understand and it go zoom

[@abx9056]

It's really nice Ma'am that you get exactly to the point. I have understood everything in just 37 minutes! Otherwise, I would have had to watch so many videos.

[@kristakingmath]

I'm so glad it helped, Aniruddha!

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She bacc She teach calc

[@mu.makbarzadeh2831]

Thank you so much. I download all these units 1,2 and others if there are, for my students engineers. They need to study calculus carefully.

[@lnfirefang6207]

Thank you so much for your help!! Great video!! This helped me out a lot!

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You're the Best, Krista.

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been a while always appreciate the videos :)

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Excellent video lecture.

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You are the best Krista!!!

[@magicianmana4]

Welcome back! I watched your videos like 8 years ago in high school

[@kristakingmath]

Thank you so much! Crazy to think it's been that long! 😂

[@loveitgirl2202]

Note to self: Reviewing 2.2 and memorize formulas 2.7 is great to write down for notes

[@JesusRocksTryPrayin]

Your videos made it so I barely had to go to class, so many years ago. I am going to do this course :D fun

[@kristakingmath]

Lol, nice! I hope you do take the AP course, I think you'll really enjoy it! :)

[@manzooralhaj5850]

Very useful lecture thnaks

[@krishnamckay3247]

36:13 I feel like that's actually quite a bit of work but it's nice seeing the proofs for these. As for remembering them, I remember that the derivatives of secx & tanx, respectively, are secxtanx & sec^2(x). So for cscx & cotx, It is simply their "negative & co-versions" Ya see? While for secx, it's secxtanx; for cscx it's NEGATIVE COsecantx*COtangentx, simply -cscxcotx. Then just like how tanx has sec^2(x), cotx has -csc^2(x)

[@pradap2298]

Back to the form,thx for sharing your valuable knowledge with us.😍🙌

[@kristakingmath]

My pleasure!!

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Thank you My favorite mam

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Greetings and blessings from San Juan de Lurigancho, Lima, Perú.

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oh wow!! you are back!!

[@krishnamckay3247]

26:31 What about how derivative of a^u = (a^u)(lna)( u' ) or how derivative of log base b of a = (1/a)(1/lnb)( a' )?

[@kenafikiru1744]

Thank you 💗💗

[@abx9056]

Thank you so much Ma'am! 🙏🙏

[@kristakingmath]

My pleasure, Aniruddha! 😊

[@winnysmath4961]

Long time no see you Krista .. Thank you so much for sharing about mathematics

[@kristakingmath]

You are so welcome, thanks for saying hi!

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You are Amazing teacher may blessing and safety and prosperity around you young lady. -babajune

[@darshilpatel3464]

Which unit is integration by parts and integration through trig substitution

[@chyldstudios]

Excellent video! What software are you using for the whiteboarding? I teach data science so I'm always looking for a good whiteboarding application.

[@kristakingmath]

It's called Sketchbook, by Autodesk. I've used it forever and it works really well! :)

[@comicxsimpson]

What a lifesaver my god

[@macaroongaming5579]

watching this at 10:25 pm before my exam tomorrow 😬

[@SuperShakirawakawaka]

Preparing for the May 24th exam I haven’t learned a thing this year 😭😭

[@sophiamariam3108]

same! just gonna binge watch and pray to God hahaha! Good luck

[@MZKI201]

pleaseee can you do about unit 6-8 soon I'm in unit 4 now

[@annapurnam.1603]

Krista, i have a doubt, how can i approach u?

[@kappasike]

10:29

[@melissa4037]

18:26

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lol who else watching this 5 hours before the test

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Why so many ads😔

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I can't focus

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test in 3 days…

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Came for the math, stayed for the intelligent and attractive woman!

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Ha! ;-)

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Excuse me as this is unrelated but how is it possible for you to look YOUNGER than you did in your oldest videos on your channel? It's truly baffling...

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