AP Calculus AB and BC Unit 5 Review [Analytical Applications of Differentiation]

[@kristakingmath]

Unit 5 is all about Optimization, and it's the last unit of Derivatives before we start Integrals in Unit 6. 🙌 Timestamps are in the description! 🤓

[@simoneangelov6950]

Why did you remove units 6-10? Can we only access them if we buy your course?

[@audreychoi8797]

@@simoneangelov6950 same question... im crying rn

[@Not__Jaded]

where are the rest of the units?

[@juliafremberg]

@@simoneangelov6950 WHERE DID THEY GO

[@simoneangelov6950]

@@juliafremberg They are on her website, you have to purchase her course which includes all of the worksheets she mentioned at the beginning of the video.

[@ivanbatina9295]

Wish i found this video more than 12 hours before the exam lol

[@pappapoppa]

hard to think 10 years ago I was in hs jr year watching these videos every day. turns out this channel and khan academy were more effective than any one of my school teachers. I dont think you realize how much of a positive impact you have had in peoples lives. Thankyou, Krista. :)

[@Lolahw]

Can’t agree more!!!

[@ahmedzayed5588]

Remembering your videos 5 years ago when i was studying and struggling thru out my lessons then finding your channel it was the light at the end of the tunnel , im an engineer now ! Thanks krista for every video you have made , salute from EGYPT!

[@havvakoksal5355]

Where is unit 6-8🥺🥺🥺 i got my ap exam tomorrow 😭😭 Update: I ended up getting a 4!!! Thank u ma'am

[@laithalbozom8867]

i cant find them

[@ChilisOfficial]

I think you have to buy them on the ultimate review packet links in the description

[@kristakingmath]

Congratulations on the 4, Havva! You're amazing! :D

[@Grombrindal91]

Haven’t seen this channel in a long time almost forgot about it. You helped me years and years ago, now I’m an engineer so thanks!

[@Yellows]

Beast

[@SergeantTopBins]

I am an engineering student. How are you liking it?

[@Grombrindal91]

@@SergeantTopBins it’s great I get to work on rockets and things that go to space.

[@kristakingmath]

So glad to hear that you're an engineer now, that's awesome!! :D

[@MinimalistTutor]

@@kristakingmath i really love your voice and classes 🤗

[@baraaalkhateeb9607]

I(a highschool student) and my sister( a computer science student) watch all of your videos . You mean a lot for us and we love you so so so much❤

[@successorantigha9466]

I wonder where you are. Was just reminiscing my days in the University and you crossed my mind. That's some 7 years ago. I was sleeping and waking on your channel. Had As in all my math courses. Graduated with First Class and as Best Graduating Student. Thank you so much

[@caitlynmoloney8259]

I absolutely love your videos- they are sigle handedly getting me through AP Calculus! Can you PLEASE post a unit 6 and 7 video? I would be so so happy!

[@MihirRai398]

You can get them in the Ultimate Review Packet, although I presume you've already taken the test at this point.

[@areenmahich6977]

@@MihirRai398 Is it free ? Or I would have to pay for it

[@MihirRai398]

@@areenmahich6977 It's $25 USD. But well worth it, I would say

[@gautamch3257]

God bless you, I would have been screwed without this video

[@kristakingmath]

I'm so glad it helped, Gautam! :D

[@joannetran3586]

What happened to the rest of the review videos Krista? Those videos were very helpful.

[@kristakingmath]

Hi Joanne! You can get them as part of my Ultimate Review Packet, the link's in the description. :)

[@jdavis2921]

@@kristakingmath i love your videos :)

[@timochyfilix5176]

I was watching your videos when I was a college student.. now I am a teacher with master degree.. thank you teacher!

[@JayPatel-mj9xo]

Hi Krista, I watched all your videos for Calculus AB and now I'm back to watch Calculus BC, but I don't see units 6-8. Thank you!

[@oneyeartomaster5695]

i bought all of your udemy courses and its best decision i have ever made, i cant even EXPLAIN how easy it is to learn from your courses🥰🥰🥰

[@kristakingmath]

That means so so much to me, thank you! I'm so excited that you're going to be working through all the Udemy courses. I'm constantly working on trying to perfect them as much as I possibly can, so I'm so glad to hear that you're enjoying them! :D

[@ptyptypty3]

she's BACK !! Welcome Back Krista !! look forward to REFRESHING my Previously Refreshed Calculus...

[@kristakingmath]

I'm back! I hope you've been doing great, Philip! :)

[@videotimestampsbrowserexte8828]

Thanks for the timestamps! I am bad at math and have no idea what's going on but I indexed the timestamps in the video timestamps search engine, will definitely be helpful for someone searching there.

[@Lpscutiepawslover]

Love this channel and the content you post! Whether you post videos soon or not, thank you and have a good one :). P.S. I saw someone say they’re an engineer now, and I’d like to say I’m now studying Calc 3 and moving into my 2nd year of my Electrical & Computer Engineering program :). Your videos have helped me to understand the material much more easily!

[@user-nd2zu6tr3s]

She’s a LIFE SAVER

[@bmoski217]

I got through my Math Modules in College because of Krista 'The Legend' King. Thank you Godsent. God bless you.❤

[@kristakingmath]

Aww thank you so much, I’m honored!! 🥹🥹❤️

[@bmoski217]

@@kristakingmath ❤️

[@tejpatel6652]

Lifesaver series right here!

[@STgauss3268]

For the first time I found your lecture videos now and it helps me to teach my students in a more simple and neat explanation, although I'm from Measure Theory background.

[@caseyfarrell8578]

Thank you for this!! this is great supplementary material to class lectures, and your study guide is super helpful seeing the reasoning behind the essential knowledge that comes out of this unit. a good purchase and will definitely be using for the rest of the year :)

[@kristakingmath]

You're very welcome, Casey! I'm so glad you're getting great use out of the course!! :D

[@ChillieGaming]

@@kristakingmath hey why did u left

[@dmmalcampo8505]

hi krista, I hope you have a nice meal it would be wonderful to know what u are doing after 4 yrs of not uploading. Youve been a big help to my acads and I aprreciate it so much :>

[@krishnamckay3247]

16:00 I'm glad you said test each interval, bcuz some think you just need to test one bcuz it always changes between each one It doesn't. But there's an easier strategy: just test 0 (unless 0 is a critical point, then just test each one), then look at the multiplicities for the other solutions, how many times it's a solution. If it has an odd multiplicity (ex. (x-1)^3), then it crosses the x-axis, so the sign changes. If it's even (ex. x^2), it doesn't actually cross. So then you only need to test 1 point, then look at solutions 40:40 So this technically isn't necessary. I say that bcuz with the 1st derivative, its solutions are where the function turns, & we know how it turns from how the derivative crosses the x-axis. For instance where the derivative goes from + to - (so=0) is where the function goes from increasing to decreasing, a local max 1:10:45 Why not 0?

[@shashankpokhrel-joshi2614]

Saving me for the semester final exam. I have to take my exam in two hours!

[@beanandcheese.burrito]

can we talk about how perfect their handwriting is

[@yunusalam1970]

einstein mastered calculas when he was 16 , that just stuck in my head, i am 27 and i will learn it even it kills me

[@profearthurito6993]

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

[@natenate4525]

I think i'm still gonna get a 1 but these videos are helpful and very well made

[@natenate4525]

​@Samuel Price Damn bro just saw she hasnt made 6,7 or 8 :/

[@chicken8440]

@@natenate4525 She actually does have units 6, 7, and 8. If you go to her channel and click playlists, then all her unit review videos should be under AP Calculus AB

[@muhammadafzaalkhan9277]

kind request plz make one video on the bayes theorem and its application. Will be very very thankful if you make a video i appreciate you hard work regarding math....

[@corahabbott5137]

Ahhh thank you so much! 🙏🏼🙏🏼This video was way more helpful than any of the lectures my teacher gives

[@kristakingmath]

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

[@shrinidhivenreddy8625]

The video was really beneficial... can you please make a video for unit 6

[@macaroongaming5579]

I am cram studying rn for an exam I have tomorrow over unit 5, what makes it even worse is that this exam will count as my final for my first semester so it will be worth 20% of my total grade. Really really hoping that I do good tomorrow!

[@dollofahuman]

Wat school

[@michaelsibson7941]

New insights and new processes gained. Thank you.

[@maya-th2bu]

Are there videos for unit 6-10? I see most of the BC content is missing from your youtube videos. Please upload! @Krista King

[@jiyabarman6280]

Hi krista, these videos are helping me so much! just a question - are they really covering the entire BC portion also?

[@kristakingmath]

There are BC specific videos that cover all the BC content. You'll find them in the AP Calc BC playlist on my channel. :)

[@tatianatorres06]

THANK YOU SO MUCH!!! you are so clear and articulate with your explanations, definitely am going to become a subscriber!

[@kristakingmath]

Awesome, thank you, tati! I'm so glad the videos are helping! :D

[@tatesherman8273]

Cheers for helping me get a 5

[@mohamedelkerdawy5474]

شكراً لك على هذه المعلومات الرائعة Thanks for the great information

[@kristakingmath]

You're very welcome!

[@bamlak3586]

ur videos are so underrated

[@kristakingmath]

Very nice of you to say, Iciye! :)

[@victoriat.2093]

I LOVE YOUR VIDEOS they're sooooo helpful and engaging !!

[@pankajpandey3490]

Pls pls upload again and explain highschool level maths. I love your algebra lectures they helped me soooo much in my exams

[@theodorevassiliades5045]

you are to the point , I guess that in case you expand your channel more to additional theory , you are going to surpass each and every one

[@kamehamehaDdragon]

Thanks for the video!

[@teaQtheQT]

Thank you so much you are a legend

[@daylinfalvarez]

i love you for making this video

[@namrashah715]

which software do you use to make such good graphs and sketches and also the device it works on ?

[@bigfranchise]

I’ve been wondering this too. I hope she returns to answer the question.

[@mu.makbarzadeh2831]

Thank you. Please make a clip to graph a system of two(or more) nonlinear equations by Maple🍁.

[@rijulranjan8514]

Your the best Krista!

[@aadityabhetuwal5990]

Really helpful.

[@SUDAISKHANX2]

You are the best thank U❤

[@rryan916]

We're.... we're moving on to the integrals part of the course right? ..... Right?

[@minhaowang6357]

for 5.12. Why did you solve for y=4x and plug that back into original function? Critical point is where f'(x)=0 or undefined instead of original function equal to 0. So why don't you just solve the equation system of 4x-y=0 and 2y+x=0

[@Sooooooooooorya]

intro sound to each topic hits harddd af, hans zimmer lvl shit

[@Clyffcarlock1]

What is the difference between your "Become a Linear Algebra Master" and "Become a Algebra Master" courses on Udemy?

[@jerryf5064]

You should upload your handwriting as a font lol

[@kalpitkamaljain]

Which software are you using for the black board? Thanks!

[@vortexflickens2]

Can u pls make some videos on integration by substitution. Like what term to substitute frustrates me.

[@ishaporwal8324]

I request you Ma'am. Please upload the other 5 units too :( I beg you Ma'am Please.

[@lhaellor]

Hi - I subscribed to your courses in Udemy, and they are so amazing !! Thank you so much. Also, one request. Could you make courses in physics?!! Please I swear I would pay for the courses on Udemy without a single hestiation.

[@Stryker-ye7wn]

Is there a unit 6 video being made or already uploaded?

[@namrashah715]

Really helpful 👍

[@edits4161]

has the book changed in the last year, I am currently taking this class and most of these subjects were covered in chapter 3 or before

[@samimotassim2578]

Cant find units 6-8 anymore :( why

[@aimyhebberecht5060]

kzbin.info/www/bejne/fXjFfmqYgsx3qsU

[@aimyhebberecht5060]

kzbin.info/www/bejne/eKWViX-NjKisb9E

[@aimyhebberecht5060]

kzbin.info/www/bejne/sHm3eHVsYrxnppo

[@aisenberg5407]

@@aimyhebberecht5060 thank you so much!!!

[@harshdave7011]

@@aimyhebberecht5060 could you send unit 9 and 10 too if possible? For calc bc

[@nidemla483]

im gonna need a unit 6 please like today?

[@lanabarakat4812]

At around 50:57 aren't the points at x=2 and x=4 for the first derivative graph inflection points for the original graph? Wouldn't x=3 be a critical point?

[@muhilanaeroenthusiast1134]

Can u please make a video on conversion of cartesian co ordinates into non cartesian ones?

[@kristakingmath]

I have several already on my channel for converting into polar, spherical, cylindrical, etc. :)

[@toomanydonuts]

i want an autographed T shirt

[@theclueless11212]

have units 6-10 been deleted?

[@aneeshmathur969]

@UC4B5uUOmrGenqe3Gd-G7Paw go to her playlists on her yt page and click on the AP Calculus AB playlist and it shld all b there

[@canalmultiplica]

I have just started a KZbin channel and it is about math too!! My name is Guilherme Cecilio anda I'm a Brazilian teacher!! It is unbelievable that you don't record anymore. Please... comeback hahaha

[@praatyush2615]

Where is unit 6 please share

[@annapooranig5293]

Mam can u please tell me from which book I can find problems related to this topics

[@animemangaweebp2739]

the graph still works with f"'(x) and so on right?

[@luckn.3371]

yes, like she said its like a cascading waterfall

[@trashadoesnotexist8189]

help is there is unit 6 video

[@1966lavc]

hello teacher, could you review all the series in calc 2 ?

[@vibranthappiness1848]

thank u sooo much

[@weirdguy320]

are the udemy course n KZbin videos same ?

[@pinkalex7703]

I love you Krista king ..😅😅🎉

[@areenmahich6977]

Krista Why did you stop uploading videos ?

[@lilducko]

Explosive diarrhea

[@areenmahich6977]

Really ?

[@lilducko]

@@areenmahich6977 yep

[@areenmahich6977]

How are you so sure

[@lastcliff]

bro tweakin@@lilducko

[@almnr81S7]

Good i stumbled on this channel.😤

[@kristakingmath]

Welcome aboard! ❤️

[@passportbro904]

​@@kristakingmathare you still active youtube kris?

[@xl000]

What level is that ? In terms of years after the end of high school for example.

[@kristakingmath]

Most people take this class as a senior in high school. :)

[@redwoodreverie]

I appreciate you so much thank you

[@kristakingmath]

You are so welcome, Alina!!

[@anishbandari1773]

Clutch!!!

[@pinkalex7703]

You're excessively a smart and an intelligent 🧠 woman...i love you for that

[@abhinavdiddigam2330]

Why did u stop uploading?

[@kristakingmath]

I'm still here, I've just been really busy working on my courses, so I haven't had as much time to upload to KZbin. But I'm still here! :)

[@amplethought]

Why you no post no more?

[@samimotassim2578]

for the EVT, isnt it [a,b] not (a,b)

[@LauraFranzel]

Yes, I have a textbook that states it that way, so that should be right

[@charlie-pe2uk]

What software do you use to draw?

[@jesalgandhi]

www.kristakingmath.com/blog/how-i-create-my-videos She uses sketchbook

[@oliviaschenker3803]

Where can I find unit 6?

[@tanavpatel2619]

go to her channel and then playlists, and then each of the playlists have their according videos

[@Uri-Altenhofen]

why she's so beautiful she explains things very well

[@BusterrHimen]

Dude, besides being super intelligent, you are so beautifulllll

[@catarinachelius6017]

POV ur here bc the calc test is in literally 2 days

[@strollas]

6 hrs now

[@aisenberg5407]

did you hide units 6-10? :( they would be extremely helpful for me! the exam is only a few days away

[@aisenberg5407]

@@audrey9278 thank you, already found it!

[@Araknid42]

@@audrey9278 Clutchest comment ever

[@swanily]

@@audrey9278 hey! she removed 6-10 from the playlists, do you happen to have the links?

[@sachinkumar-sy4gn]

@@swanily there is a different comment that gives links for 6,7, and 8. I would suggest sorting comments by newest and finding the person who posted the links

[@aurorafernandez2938]

@@aisenberg5407 hi, i really need those videos right now, do you happen to remember how to get them?

[@kunalrout45]

mam please repost unit 6-10 ......

[@marzhou8012]

god bless your soul

[@kristakingmath]

[@zickrap5965]

You’re the best!! I luv u 💙 xD

[@triplejishere]

First 🤟

[@hunainaghai3342]

It's been one year. Please come back🥺

[@kristakingmath]

I'm here! I've just been working really hard on my courses, which is why I haven't been publishing on KZbin. :)

[@hunainaghai3342]

@@kristakingmath thank you very much for replying me. I'm glad that you're here. You've helped me a lot in mathematics. I'm an electronic engineering student from Pakistan 🇵🇰. You're the best teacher. Love, support and respect for you ❤️🙏🏻

[@flashyvirtouso7423]

Hi before i want to subscribe on your 39 dollar plan i want to know where i can get the topic sets,functions plotting i hope u can point me or you have that in your syllabus then im settled to enroll

[@charliewilson3234]

Where did you go Krista? It's been a year.

[@kristakingmath]

I'm still here, Charlie! I've just been working really hard on my courses, which is why I haven't been posting on KZbin. :)

[@rojashuruthika1915]

Y u stopped videos

[@lilducko]

She combusted