Another all-in-one calculus question (uncut): 👉 kzread.info/dash/bejne/ZadlubuOh7yre7g.html

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”

"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

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

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

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 😀

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

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.

Now convince me that this is indeed the derivative using an epsilon-delta proof.

@hazwi

8 ай бұрын

NO ILL LITERALLY DROP OUT

@wavingbuddy3535

6 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

Definitely for exam season. 😁😅

@TheRealUSArmy

2 жыл бұрын

Totally not complicated 😳😳

Not doing calculus every day, this was a refreshing way to quickly review many topics. Thanks!

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.

I've always likes your small clarifications as you go along. You always have unusual math content which is refreshing and interesting.

Well, I am not only impressed about you coming up with the question, but also with the fact that I could understand you everything

This is actually crazy and great at the same time, great idea, video, and performing! :D

@blackpenredpen

2 жыл бұрын

Thanks!

I love your videos so much!! If you haven’t yet, do you think you can do a video on the difference between a function being nondifferentiable and discontinuous at a certain point?

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?

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

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 KZread. 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)

"Okay class, I'm going to set only one question for your test." *cheering* The question:

Excellent all-in-one. I love this.

Thanks for making this!

Yo that marker switch thing is certified Mathematician skill.

exactly what i was looking for!

Great video , intro was heart - warming !

I open youtube after a 4 hour calc 2 test and this is the first suggestion 😭

@blackpenredpen

2 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

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.

Thanks, BPRP. I'll be sure to try putting this as an extra credit question on one of my tests. I teach biology but it will probably be fine.

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.

i am loving this

This is my favorite video of all time

Really good videos. I appreciate your efforts

Fab! Super enjoyable as always.

I can't say I felt satisfied at the end of this video... More like I had been put through a meat grinder lol

Excellent!

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

dude, i’m so excited to get into calculus

That was fun. I actually kept up with you this time. Wondering if you could 'further tweak' the initial question in some inspiring way s.t. further simplification of the outcome is nicely achievable ?

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

We love your explanation 😘😘

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.

Is interesting to see how this makes so much sense in comparison to Línear Algebra

Really beautiful question!

@blackpenredpen

2 жыл бұрын

Glad you think so!

This was very nice to do

amazing !

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

My Adv. Calc book defined dervatives as taking the limit as x approaches x0 of the function (f(x)-f(x0))/(x-x0). This has the nice property that you can prove that a function f mapping a domain D to the reals is defferentiable at a point x0 in D, despite it not being differentiable everywhere.

Can you really integrate a series like you did for the blue part? I'm intrigued to learn more about this!

I’m so glad I’m done with calc.

Fabulous explanations. .. congratulations from 👍🇦🇷

Thank you so much ⚫🖊🔴🖊, finaly was easy. I wish you the best

Very cool problem. It is so easy to miss things. I usually use square brackets [ ] if I have 2 levels of ( ).

“I have to roll up my sleeves because…yeah. Yeah.” Know that feel all too well.

i love how you switch markers

Whew! I was expecting a smaller, simpler looking final answer!

Define a limit operator: lim(f(x),n) = a Where f(x) is the function we need to take the limit, n is the critical point (where if f(x) is underfined at that point) and a is the result after the limit approach That means: f(x) n

@julianbruns7459

Жыл бұрын

I dont see how that makes any sense. 1. Why does the function need to be undefined at n? It shouldnt matter if it is defined or undefined if we want to know the limit as x aproaches n. 2. Why does the limit need to be the maximum value of the function? I dont see any use-cases for this defenition of a limit

Thanks , black pen red pen blue pen green pen , for presenting a nice question . Excellent !!

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

It was easy to understand

so relatable - "I have to roll up my sleeves because... ya"!!!

Student: what will the exams be like? Prof: Don't worry, it will just be one question.

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😆

@bogdant.8599

2 жыл бұрын

@@sumankalyannaik3113 He's Einstein! He's our king😃

@Pacvalham

2 жыл бұрын

13:48

@sumankalyannaik3113

2 жыл бұрын

@@Pacvalham XD

Sir I watch your videos sometimes but I have subscribed you because sir your smile is pretty nice

Thanks!

@blackpenredpen

2 жыл бұрын

😊

This is amazing lolll

Steve, you have indeed evolved with the questions 😂😂

Woww great !!

I had this really hard antiderivative question at my uni. It was to find the antiderivative to absoluta value of sinx

Teacher: Don't worry the exam is only just 1 question That 1 question:

I just started disequations at school. I don't know why I open this video, but I don't regret it

I have no idea What you are talking about, but it was very interesting to watch.

I didn't understand the blue summation part because I haven't learned that yet, but being able to understand and do the rest of the math was oddly satisfying

I am kinda proud that i did all this just under 5 min, all in my head, no pen and paper, except for the simplification of the derivative part(cuz that's tedious)

if i walked into class and saw this question on my desk I'd walk right back out

Thank you for grabbing my attention using that pokeball

Btw - could you do a video on infinity factorial? I have seen some videos which say that it is equal to pi*Square root of 2 but this makes no sense so I am sure youn could do a video on this that would clear this up.

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

Can your explain the motivation for using 1/(t)^2 in the L’Hopital’s calculation?

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

I have my degree but if I took my integral calc exam and saw this question I’d just giggle and skip it.

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?

Hello sir, will you also be covering multivariable calculus?

Please make a vedio on ROLL, CAUCHY, LAGRANGE THEORAMES.

This was a lengthy one but quite interesting!

Imagine having only 5 minutes left in a calculus test and this is the final -boss- question.

watching these videos when i’m about to pass out from sleep deprivation is… i already can’t understand this, adding the sleep just makes me feel as if tilting my head would make my brain flow out

The question the teacher solves in class: 1+1 The question that comes up in the exam :

Frankly I don't get the "integrate by parts" table. Is there a video specifically explaining that, or, if not, can you make one?

Sending this to my friends on halloween hehe xD By the way, what is the background piano music at the end?

And now let's study the sign for variation :) (Greetings from France)

I have a question , how to plot graph of integration of e^x logx dx. Feel free to answer and thank you for your videos

You caught them all! 🐄🛸 I was looking at making one that dealt with all the special rules... but it was getting huge... and I had to go eat dinner.

Man you‘re crazy xD How?😂 Well no matter i still love your videos

Whenever i see sigma sign in question , I leave the question 🤣🤣😂😂

14:09 "i pick derivative on the outside because we can always differentiate" in my test, i will swap them. lol

10:20 How are you bring the -3x to the outside? Wouldn't the other term inside the parenthesis prevent you from doing that?

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😎

this would be devious on a test

That was just part A, part B of the exam would ask, “Using the answer you got from part A, draw a slope field.”