Another all-in-one calculus question (uncut): 👉 kzitem.info/news/bejne/lKlnvY2LkIt2foo
@MonsterIsABlock
2 жыл бұрын
"If you're a calculus teacher, feel free to use this on your calculus test" Me: NOOOOOOOOOOOOOOOOOOOOOOOOOOOO
@blackpenredpen
2 жыл бұрын
😆
@nerduto1
2 жыл бұрын
At least you have the answer now xD
@anshumanagrawal346
2 жыл бұрын
Well, you know the solution now
@aviralkumarbarnwal83
2 жыл бұрын
@@blackpenredpen Bhaiya you are the one of the best maths teacher in the world.plz give me some tips to strong calculus and coordinate geometry. ❤️❤️❤️❤️ u unended.
@rickshn6801
2 жыл бұрын
@@aviralkumarbarnwal83 look up questions online and do them a lot that's how you engrave it into ur memory
@blackpenredpen
2 жыл бұрын
If you also like filling the whole board with math 👇
@azcollins9138
2 жыл бұрын
I bought my own whiteboard because of you : D
@kushaldey3003
2 жыл бұрын
Ok, so now you use green pen as well
@lowlife_nolife6047
2 жыл бұрын
Can you create a Video about Non Dimensionalisation of Differential Equations... Have been encountering that in many Heat Transfer Problems??? Just want to Understand the Concept Behind doing so..
@26-dimesional_Cube
2 жыл бұрын
Fun fact: you can type this to recreate bprp's problem in PE keyboard This video: d/dx((lim(h->0,((x+h)^3-x^3)/h)*sum(n=0->inf, x^(n+1)/(n+1)))/integral(0,x,ln(t),dt)
@smrutiranjanbehera9237
2 жыл бұрын
@@kushaldey3003 bule pen too 😀
@cookyum501
2 жыл бұрын
Calc teachers DO NOT feel free to use this on a test
@blackpenredpen
2 жыл бұрын
Lol why
@cocco_cola2989
2 жыл бұрын
@@blackpenredpen it is a little bit difficult ahahahha, the limiti and the power series are not impossible but the rest is quite hard
@yaelmartinez4374
2 жыл бұрын
@@blackpenredpen its hard
@Geo25rey
2 жыл бұрын
@@blackpenredpen it's too long of a question with too many interdependencies. If you get 1 of the first 3 parts wrong, then you get the entire question wrong. Also, look how long it takes to complete. It took you over 10 minutes to complete so for students it might take 20-30 minutes. That's at least half the test. It would be so brutal if a silly mistake cost you 1/4 of your final exam grade, assuming there's reasonable partial credit.
@TheZenytram
2 жыл бұрын
@@Geo25rey good
@Jschlick100
2 жыл бұрын
I love that he’s just holding a PokeBall while crushing my brain
@shuem_
2 жыл бұрын
He gotta crush'em all
@elijahdelacruz3004
2 жыл бұрын
Facts
@adrienleblancpiette6239
2 жыл бұрын
Think that it is his mike or something like that.
@blue5887
2 жыл бұрын
@@adrienleblancpiette6239 it is his microphone
@sirmaxie5640
2 жыл бұрын
@@adrienleblancpiette6239 his “mike”
@lenskihe
2 жыл бұрын
My suggestion: Let each student have the choice. Either they take a normal calculus test or they only have to do this problem
@blackpenredpen
2 жыл бұрын
😆
@Vivek-io3gj
2 жыл бұрын
Or take a test of problems like these (bonus points)
@cjxchess17
Жыл бұрын
and if you get it incorrect you get a 0
@null3007
Жыл бұрын
@@cjxchess17 Funny seeing you here haha
@GhostHawk272
Жыл бұрын
@@cjxchess17did not expect you here
@amitl2308
2 жыл бұрын
calculus teachers would be : "you didn't close the parentheses at 6:44 , B-". jokes aside, i love your channel!
@complexcreations5309
2 жыл бұрын
Noooo, I can't unsee it😭😭!
@MrConverse
2 жыл бұрын
I noticed that too and it was bugggggggging me! BPRP is still awesome!!
@Fasteroid
2 жыл бұрын
*anger sounds*
@Gniaum
2 жыл бұрын
Or that one student that did not pay attention to anything else and at the end, when you ask if there is any question and if the method is understood, raises a hand to finaly say "You forgot to close the parentheses!"
@mizba7859
2 жыл бұрын
I also had the same doubt
@josegalvezmateos8153
2 жыл бұрын
Be careful, not always the integral of the serie is the serie of the integrals. You should say that in this case it happens because is uniformly convergent when x is in (-1,1)
@gasabbath
2 жыл бұрын
I was about to comment that.
@diego_sabbagh
2 жыл бұрын
i was about to post this very same comment too ^^
@scar6073
2 жыл бұрын
Screw that I'll just say "assuming all the conditions are met we have" and proceed.
@hoid8069
2 жыл бұрын
Now convince me that this is indeed the derivative using an epsilon-delta proof.
@hazwi
11 ай бұрын
NO ILL LITERALLY DROP OUT
@wavingbuddy3535
9 ай бұрын
Whole test is this one question: a) find the derivative [5] b) find the derivative by first principles [10] c) verify using epsilon delta definition [20] d) find the second derivative [35] Time: 1 hour ugh
@reidpattis3127
2 жыл бұрын
Definitely for exam season. 😁😅
@TheRealUSArmy
2 жыл бұрын
Totally not complicated 😳😳
@spelunkerd
2 жыл бұрын
Not doing calculus every day, this was a refreshing way to quickly review many topics. Thanks!
@fariesz6786
2 жыл бұрын
C=O d/dt so you even managed to smuggle some organic chemistry in respect!
@fivestar5855
2 жыл бұрын
d/dt in organic chemistry? I've never heard about it (I study a chemical Engineering)
@fariesz6786
2 жыл бұрын
@@fivestar5855 Dichlorodiphenyltrichloroethane (DDT) is an insecticide yeah, i know, lame joke.. but he literally said it as "dee dee tee"
@manuelgandaras7871
2 жыл бұрын
I thought organic chemistry too when i saw the C=O
@vipuleshtiwari3679
2 жыл бұрын
@@manuelgandaras7871 carboxyl bond
@ritujithmanoj2133
2 жыл бұрын
@@fivestar5855 Don't they show up while studying kinetics of organic reactions
@JemCel03
2 жыл бұрын
I miss calculus so much. You've grown btw! I first watched you in 2015-2016 era and now you're here making the most intimidating calculus question that is worth 5000 points in the exams lol.
@PrudentialViews
2 жыл бұрын
As a 13 year old, I find this very interesting and now I wanna learn calculus.
@General12th
2 жыл бұрын
In case you haven't yet, you should watch 3Blue1Brown's "introduction to calculus" series here on KZitem. It'll give you a wonderful and qualitative understanding of the subject.
@PrudentialViews
2 жыл бұрын
@@General12th ok
@PrudentialViews
2 жыл бұрын
@@armgord thats cool!
@sciencegeeks1370
2 жыл бұрын
@@armgord Yh me too.
@greeeeeeeg
2 жыл бұрын
@@armgord Yh me too. (no)
@davidblauyoutube
2 жыл бұрын
I can't say I felt satisfied at the end of this video... More like I had been put through a meat grinder lol
@lorenzovillani3102
2 жыл бұрын
You can group the second and third term by the fact that the second is multiplied by 1-ln(x), but the other is mulplied by one. So the result is a bit smaller by multiplying the second by 2-ln(x)
@ViguLiviu
Жыл бұрын
Exactly what I thought, but my conundrum is still not resolved since it's not useful.
@lorenzovillani3102
Жыл бұрын
@@ViguLiviu?
@Ken-no5ip
2 жыл бұрын
I open youtube after a 4 hour calc 2 test and this is the first suggestion 😭
@blackpenredpen
2 жыл бұрын
😆
@fizixx
2 жыл бұрын
I've always likes your small clarifications as you go along. You always have unusual math content which is refreshing and interesting.
@yaskynemma9220
2 жыл бұрын
Well, I am not only impressed about you coming up with the question, but also with the fact that I could understand you everything
@SeeTv.
2 жыл бұрын
To me after figuring out the parts, calculating the derivative isn't that hard. It just requires a lot of concentration and time and space but isn't fundamentally more difficult than some friendlier looking derivatives.
@liamwelsh5565
2 жыл бұрын
I agree. Derivatives are easy. The only tricky part is not making little mistakes while doing multiple rules at once.
@Kanbei11
2 жыл бұрын
@@liamwelsh5565 to be honest a function like that is calling out for logarithmic differentiation
@stumbling
2 жыл бұрын
"Okay class, I'm going to set only one question for your test." *cheering* The question:
@royalredbird9717
2 жыл бұрын
I'm in 10th grade only. Why am I here!?😭😭
@ian1231100
8 ай бұрын
I didn't even learn calculus. What am I even doing here?
@abdulmalek1118
Жыл бұрын
Hello ! I hope you see my comment I saw this nice question so that I recommend it The question is : solve the system of equations a = exp (a) . cos (b) b = exp (a) . sin (b) It can be nicely solved by using Lambert W function after letting z = a + ib Hope you the best ... your loyal fan from Syria
@Benjax_95
2 жыл бұрын
This is actually crazy and great at the same time, great idea, video, and performing! :D
@blackpenredpen
2 жыл бұрын
Thanks!
@Harkmagic
2 жыл бұрын
When I saw "all in one calculus problem," I was envisioned something that required chain rule, product rule, quotient rule, trig substitution, hyperbolic trig substitution, etc. Kind of an absolute nightmare, but really satisfying to complete.
@derrickblack8632
2 жыл бұрын
The real fun happens when you have to check all student solutions (those students that finished the problem, of course) to make sure their solutions are equivalent to your solution
@johncarlodimaangay3812
2 жыл бұрын
I remember having to answer these type of questions in my Integral Calculus days, separating the whole equation and integrating it 1by1 and having an answer 3x longer than the answer of this whole equation
@Gillespie28
2 жыл бұрын
I have my degree but if I took my integral calc exam and saw this question I’d just giggle and skip it.
@Peter_1986
2 жыл бұрын
This one example is probably quite overkill, however I do generally enjoy problems that include several different concepts, since they feel more rewarding. It's especially nice when math books give problems of that type at regular intervals, since this constantly reminds you of old concepts.
@g.reaper7946
2 жыл бұрын
Yo that marker switch thing is certified Mathematician skill.
@AquaticDot
2 жыл бұрын
Alternative answer: As x is not defined to be between -1 < x < 1, the sum diverges and thus the derivative does not exist.
@CrittingOut
2 жыл бұрын
Or the derivative is only defined for those bounds
@AquaticDot
2 жыл бұрын
@@CrittingOut It's defined for even less bounds when you consider that the integral of natural log is divergent from -1 to 0 for x, so it's more that 0 < x < 1.
@plasmakitten4261
2 жыл бұрын
By checking the domain of his answer it becomes also clear that the derivative does not exist at x=1 (or e, but we knew that already)
@AquaticDot
2 жыл бұрын
@@plasmakitten4261 True. We also know that from the series being converted into the power series, since x = 1 causes the series to be the divergent harmonic series. I will say, on a slightly irrelevant note, I'm not sure if the natural log integral diverging matters, since I think that would make it the derivative of 0 (at least from -1 < x < 0). So maybe the domain is more (-1, 0)u(0, 1) since x = 0 gives a zero in the denominator for the integral (assuming it even converges in the first place).
@plasmakitten4261
2 жыл бұрын
@@AquaticDot Is the lower bound of that included though? We know the upper bound is not.
@alberteinstein3612
2 жыл бұрын
Way back when you posted this on FAST, I just used logarithmic differentiation to differentiate the monster. Here’s what I got: ((-3x^2 ln(1-x))/(xlnx- x)) all multiplied to {(1/x)+[(1/(1-x))/-ln(1-x)]-[(1/x)/(ln x -1)]} Thanks for the problem! 😁
@sumankalyannaik3113
2 жыл бұрын
Hats off to your dedication only for writing that monstrous solution. Lol😆
That was just part A, part B of the exam would ask, “Using the answer you got from part A, draw a slope field.”
@jackwheeler609
Жыл бұрын
Have you ever thought about teaching some of these concepts rather than just implementing them. I'm in Calc 1 right now and have no idea how integrals work yet but I'd love to learn so I can actually participate. Just a thought
@adityasingh7628
Жыл бұрын
U have got to STOP ENCOURAGING maths TEACHERS from Using such questions😂😂😂😂😂😂😂
@gregsarnecki7581
2 жыл бұрын
Why not add a Feynman integral trick (partial derivative under the integral sign) while you're at it!😁
@blackpenredpen
2 жыл бұрын
hahaha, great idea!
@scar6073
2 жыл бұрын
It looks intimidating but it's isn't that difficult. Honestly I wouldn't mind if this was on my test instead of four different question.
@xiangqu
2 жыл бұрын
como dirian en mexico "se mamo" estuvo bueno profe se re entendio gracias desde Argentina!
@FIRST_FLOP_PLAYER
2 жыл бұрын
Whenever i see sigma sign in question , I leave the question 🤣🤣😂😂
@pritamsur1926
10 ай бұрын
Please solve my one integration:- integral of (32-x^5)^(1/5) dx🙂
@hovnovamjepomymjmenu4710
Жыл бұрын
Simply 4 problems given into 1. Nothing special. It can be done also with elementary math level.
@devaorios5793
2 жыл бұрын
They used it for a calculus test.. I'm sure I'm the only person in my class who watches bprp other my teacher now😈
@adios4
2 жыл бұрын
stopp!! i dont even what you are speaking, differentiate,limit..
@jonesmuia6736
2 жыл бұрын
Sir do you mind if we could exchange brains, 🧠🧠🧠😀😀
@Chillwells
2 жыл бұрын
Me taking algebra 1 (8th grade): wtf is happening
@Nbrother1234
10 ай бұрын
I feel for the people that saw "lnt" and was confused until they realized it's just ln(t)
@Lena-zn4re
2 жыл бұрын
How DARE you give me a problem that forces me to remember previous chapters and concepts?
@blackpenredpen
2 жыл бұрын
😆
@MaksymCzech
2 жыл бұрын
Wait a second, who is this guy and what did he do to the author of this channel? o_O
@pontus1055
2 жыл бұрын
I have no idea What you are talking about, but it was very interesting to watch.
@GaryFerrao
2 жыл бұрын
14:09 "i pick derivative on the outside because we can always differentiate" in my test, i will swap them. lol
@stevenschilizzi4104
2 жыл бұрын
Whew! I was expecting a smaller, simpler looking final answer!
@Snow-so7ci
2 жыл бұрын
I think it can get worst, just let this be = 1 and u can see the whole world burning
@LeonardoTessari
Жыл бұрын
Forgot to put a closing bracket in the second expression on the left
@ibm30rpg
2 жыл бұрын
So did you go as Confucius for Halloween?
@MusicGeniusInternational
2 жыл бұрын
It is a Thanos like problem and the solution isn't pretty. You should write scenario for a movie 😁❤️
@B1ankeys
2 жыл бұрын
Algebra is the most confusing part
@amome1607
7 ай бұрын
He is visibly struggling by minute 11
@gb.03
2 жыл бұрын
professor pumar told me about your channel. 100% going to pick you as my next math proffesor
@ILoveMaths07
2 жыл бұрын
What's his name?
@philipeer5772
2 жыл бұрын
Coming from Germany I wonder at what grade level this would be thought. In my Grundkurs (comparable to a normal paced class) we only did Integrals and the ones with the sideways M (don’t remember the English names) but the Leistungskurs (comparable to ap classes) did a little more. Both happened last year at 12th grade (basically jr year) and now we’re doing vectors and layers which is a lot easier imo. Also, physics is really interesting rn as we are working on special relativity theory
@nathan7726
2 жыл бұрын
most of this was covered in my calc 2 class in uni
@General12th
2 жыл бұрын
All this was covered in my Calculus 2 class in 11th grade (basically ages 16-17), but that doesn't mean all of this was _understood._ Like anything else, calculus takes time and patience to understand fully.
@nicolastorres147
2 жыл бұрын
Now prove all limits with epsilon-delta definition
@JSSTyger
2 жыл бұрын
MISSING PARANTHESES at 7:20....F!!! :D
@karevgaming335
2 жыл бұрын
bonus question: prove that your answer is correct
@l_vwv_l
2 жыл бұрын
Why am I watching this I dont have to for at least 4 years
@cbayoo9405
2 жыл бұрын
Before I saw this video, I was wishing you were my Calc teacher. After seeing this, Im good😂 All jokes aside, you are helping me out so much with your content. Thank you very much😎
@AarushLanjharia
2 жыл бұрын
I feel bad for your students. Love your channel and content though!! I'm an AP calculus student right now and your videos and methods of solving problems actually give me more insight on how these problems could be solved.
@blackpenredpen
2 жыл бұрын
No need to feel bad for my students. I buy In-N-Out for my students. (Well, two of them this semester. Of course, they had to earn it!)
@rainerbuechse6923
2 жыл бұрын
My first guess was: 42. Slight miss
@finlaypoff3658
2 жыл бұрын
Forgive me if I'm wrong, but couldn't the two end terms be combined to 3(1-x)ln(1-x)(2-lnx)? I see the final two terms as 3(1-x)(ln(1-x) * (1-lnx + 1)
@ςγτε
2 жыл бұрын
Yes, you are right
@valhalla6266
2 жыл бұрын
Imagine having only 5 minutes left in a calculus test and this is the final -boss- question.
@hungrysword5835
Жыл бұрын
it just looks bad its too easy, just solve it step by step.
@MrHotBagel
2 жыл бұрын
This is a good problem; definitely going to use! I like how it combines our limit definition of derivatives, power series, and other integration methods and derivative methods all into one. Definitely could improve by making it multiple parts and adding a bit more application based there (like observing flowrates in piping or particle moving in 2-d).
@liamw6976
Жыл бұрын
You could also integrate some imaginary parts with complex conjugates into it
@prinzvegeta6212
2 жыл бұрын
Man you‘re crazy xD How?😂 Well no matter i still love your videos
@megawave79
2 жыл бұрын
when your teacher says the test isnt that hard.
@citizencj3389
2 жыл бұрын
Hello sir, will you also be covering multivariable calculus?
@dr.rahulgupta7573
2 жыл бұрын
Thanks , black pen red pen blue pen green pen , for presenting a nice question . Excellent !!
@BREAD-kc4zp
Жыл бұрын
It was pretty easy and direct ngl
@blueshell6048
2 жыл бұрын
I put the solution in my graphing calculator expecting some ridiculous graph (assuming I put it in accurately) and I was wonderfully surprised how simple the graph was. This year is my first time taking a calculus class. I’m not the best at it but it is certainly interesting and it was nice that I can understand certain parts of the video.
@psiblast005
2 жыл бұрын
Not that hard. Just looks like it.
@liamw6976
Жыл бұрын
After doing calculus for like 2 whole years in college and being in vector calculus rn, this problem is not as bad as it definitely once would have been
@sujatasharma8560
2 жыл бұрын
I am here only for the final answer!
@quanpham8296
2 жыл бұрын
Why you call this one is all-in-one
@neilgerace355
2 жыл бұрын
2:00 If we don't know what x is, is it legit to say the series converges?
@gabrieldalla1825
2 жыл бұрын
I am with the same doubt!
@koshzerg
2 жыл бұрын
Cool video ! but next time, please prepare a bigger whiteboard la.
@blackpenredpen
2 жыл бұрын
😆 that is harder than solving this problem
@omerhalaby2337
Жыл бұрын
He never closed these parentheses 😭
@ioangauss
2 жыл бұрын
And now let's study the sign for variation :) (Greetings from France)
@eitansegev
2 жыл бұрын
exactly what i was looking for!
@matematika7710
2 жыл бұрын
Now differentiate the answer.(just joking, nice video) !
@thuynguyen1132
2 жыл бұрын
Why you say that is all-in-one
@yellowpepper8366
2 жыл бұрын
I was looking forward to seeing how the answer can be simplified, but when he said “that’s it, that’s the final answer “, and I was like 🙄
@vinitoledo1377
10 ай бұрын
I'm almost sure that the final answer could be written as (3((1-x)*(2-ln(x))*ln(1-x)-x*(1-ln(x)))/((1-x)*(1-ln(x))^2) It's not a huge difference, but it's simple than the answer you boxed in the end
@averageheightwizard4798
2 жыл бұрын
I feel so bad for your students
@bertrandbrodeau2372
Жыл бұрын
Excellent all-in-one. I love this.
@Zeusbeer
2 жыл бұрын
The real calculus exam would ask the integral of your final answer
@jumefoc
2 жыл бұрын
Wouldnt that just reverse the derivative?
@mychaelsmith6874
2 жыл бұрын
I just hope students don't see a video like this and come away thinking this is what mathematicians do while sitting in their offices lol
@freydavis312
2 жыл бұрын
I can do one part of this
@joeystockdizzle982
2 жыл бұрын
Dude Shave that beard hahahaha
@shakirullah9434
2 жыл бұрын
Please make a vedio on ROLL, CAUCHY, LAGRANGE THEORAMES.
@mel-ju7kp
2 жыл бұрын
I love calculus at 2 am
@shanewright4650
Жыл бұрын
I'm so smart, I instantly knew that the limit question was 3x^2 😤FIRST PRINCIPLES FOR THE WIN
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