CALCULUS Top 10 Must Knows (ultimate study guide)

[@AmineTiba]

taking calculus after 7 years of dropping out due to a kid and had to stabilize my family first wish me good luck i’m aiming to get a degree as a software engineering

[@kirbyrparchives]

Good luck man

[@zenkaizz]

starting again too after dropping out last year, goodluck to you and everyone else

[@Algebraictivist]

Good luck dude.

[@AmineTiba]

thank you guys i really appreciate it !

[@yaadiistudios]

Wish you the best of luck. It is worth it.

[@King-sd5vg]

It's actually crazy to find a nice short (relatively) cohesive video on introduction of higher mathematics. I'll soon be an engineering student at uni, so this is definitely gonna be a 100x watch from me. Great work. Please make more of this sort of content. Very well thought.

[@tappelinn.roblox5302]

I'm 15, and I understand this very well. It is explained very well. Keep up the good work.

[@NoMoreToxicRule]

I greatly enjoyed this video. I like how you explain this. I look forward to viewing your other videos. Thank you. I have two questions on the last Section 9 and Section 10. Section 9 - Definite Integrals - The you displayed the graph of the Curve, you mentioned an under estimation of the area below the curve and that made sense to me, but unlike the previous Integrals the was a constant c, but in this example, there is no c associated with the area. I am making an assumption the c is so small that it is not a factor and that is because the limit is infinity. I may not be phasing this correctly, but I think you get the idea. Section 10 - Volume of a curve. In this particular question I am focusing on the diagramming of the curve verse the area of a curve. In the preceding diagram the curve rectangles were below the curve, but in the case of the volume the rectangles were outside the curve. Why is this different? It seems to me that they should be the same. Could you please explain this?

[@justinhart4010]

Wow you need more views ive watched "the organic chemistry tutor" he is popular and does long in depth videos but its nice to see a video explained this fast,showing it all,and well explained.Youre amazing man thank you

[@LakbayFilipinoy973]

How I wish u were my Prof b4. You're the best teacher!

[@NoosaHeads]

This explanation is BRILLIANT.

[@VighaOmnicaSA]

I'm paying my internet bills for a teacher like you. Now I'm confident that i will overcome my exam preparation easily.

[@peterquinn5993]

... absolutely superb treatment of this subject ... I wish you had taught me pure maths when I was younger ... I would not have dropped it for physics biology and chemistry

[@SirCams28]

May I ask what app you use in writing?

[@linanita]

The best summary on the internet.

[@arielgalleros657]

This presentation is both educative and fun.

[@wwhsiung7759]

Many people have learned calculus but don’t know how to use it for a high tech world .

[@nobleneckbeard7356]

How should it be used? Just wondering...

[@hyjjjkyikk3158]

@@nobleneckbeard7356 scientific simulations and business insights I believe

[@allanwrobel6607]

@@nobleneckbeard7356if you do an engineering course you use it all the time. Any situation where the state changes continuously. An example:,consider a horizontal beam, being pulled by gravity the top of the beam will be in compression, the bottom in tension. The amount of compression and tension at any point through a cross section of the beam is changing continuously. So many questions you can think of are answered using calculus. e.g. if you’re constrained to only support that beam at two points where must the supports be placed to minimise the bending moment ?

[@luzzaro4158]

Machine Learning

[@BAGHERA78]

Please share your ideas !!

[@Albert-h8i]

Everything is the basics if well understood problem is solved 90% nice tutorial ❤❤

[@petznassloukas7124]

Can you do for Differential Equations or EC?

[@Hypnotic.-.]

Taking calc ab this fall 😭 I’m scared but you’ve brought my anxiety down by magnitudes ❤

[@allanwrobel6607]

I have think it’s important to mention that if you use substitution in a definite integral you must adjust the bounds of say d integral. Otherwise great, keep up the good work.

[@sabkhan2409]

A very nice and brief explanation of the basics. Could you please tell which software you used to show the volume of the solid of revolution. Thank you!

[@dijonstreak]

AWESOME. !!! THEE BEST explanation EVER. thank. YOU. so much !!!!

[@alexandros8361]

I found this stuff great for passing exams, but useless for understanding anything in the real world. Eventually worked out that a function was a change (like velocity) and that a higher function was change of change (like acceleration). Etc. So with calculus, I think I can now work out my velocity at s point, and terminal velocity. (factoring in air resistance). All from my gravity acceleration as I jump from a height. And time and distance to reach it. Also found out that circular velocity is actually acceleration, and thats why my car is more stable if I accelerate or deaccelerate going round a roundabout. Have you noticed?Regards.

[@Jamey-xm1dd]

Great video! Can you please share the name of the software that you are using to create these fantastic videos of yours? Thank you in advance.

[@hewanbefirdu21]

Thank you so much for your dedication to make this incredible video!

[@Gunru_nc]

Estoy muy contento de encontrar este Canal desde México porque enumera por su Nombre, los procedimientos, Algebraicos que hay que Dominar para poder Integrar como los pocos cracks que saben Integrar.

[@ukidding]

this brought back a few memories. well done.

[@adrianhernandez7197]

Great vid. What note taking software and hardware are you using? Thank you, sir.

[@HussainiIsah-c6h]

You're the best teacher!

[@girikeshav1802]

this is obviously a live saving video and thank you so much for publishing it

[@dripcode2600]

I'm only 5 minutes in and love this video. Great explanation! Thank you!

[@Alvin-kk7wd]

im in 8th grade and i know 8/10 of of the must knows!!

[@l.w.paradis2108]

What country, lol?

[@whomisac4616]

Well this video is a good video for the fundamentals/basic of calculus. You need to start from somewhere. If you understand the context then you can continue on other parts in high school/college.

[@solanaceous]

Good job!! I learned this in year 9, so I'm 1 year behind. It is good for you to know about this know.

[@Enezarioussamaelectronics]

The power of calculus .a very interesting tool and many applications area that generates a lot in term of affordability of développement of technologies wow :))first calculus for exemple that is an algorithm not only to demonstrate the derivative of combined operations and compositions on functions it is a way to describe continously to an electronic system ultimate parameters variations that define its work and functions basing on its proper work algorithm . Realising and executing theritically and in practice such innovative rests of course .

[@vospar3650]

I just descovered tgis channel it is so good thank you so much🙏

[@mubarakalkorbi9463]

Could you please tell what do use to write and record the video. ..?

[@RaghuvaranGanesan]

Thank you! Was a quick refresher on calculus... 👏

[@mosshead_vinsmoke]

Please do this to all general topics in Maths - trigo, geometry, PnC , Calc-1/2 , Lin Alg , Disc Math....

[@amolmangulkar]

Which software use for teachening

[@JamesKinuthia340]

Enjoying the content after many years

[@khawarmehmood1835]

Nice work, but please try to upload videos that show practical usage of calculas in real world application

[@adaramolabunmi4667]

Please do a video on differential equations

[@xninja2369]

Quick revision for my high school test , thanks Hmm 😋

[@Noah-ot1sv]

Taking Calc 1 in August for my first semester in college! Nervous.

[@Mohamed-aAziz2426]

Best wishes , you've got this 🙏

[@NotGleSki]

It’s easy don’t stress. Just know your index laws but that’s like for everything anyways.

[@differentialtopology]

No worries as long as ur confident in ur algebra you will do absolutely fine :)

[@smashingstuff2454]

Don't worry if you need any help I can help you out along the way. I'm teaching my self calculus too right now and I'm also preparing for the fall semester too. Remember don't overthink it just have fun and explore beautiful math

[@NorCalark]

Professor Leonard's channel helped me alot

[@---Sasha---]

Very useful, commenting for algorithm

[@baldaiomir]

NEVER DELETE YOUR VIDEOS BRO

[@jinjin1156]

this is what i needed thank you sir.

[@KUMARSOUMYA-fs7rw]

Thanks a ton ❤ love from 🇮🇳

[@oriaphyn]

The Newton's Quotient part I learned it a quicker way. x^2-2x+4, I multiply the ^2 and the x into the front and subtract it from the power so it just directly becomes 2x-2 without all the needless multiplying and cancelling etc. Do exams require I show all the multiplying or can I just do it as a single line of math?

[@Danmreke]

Insanely helpful, got another subscriber

[@Arjunan-d1l]

Great explanation.... Thank You,Sir...

[@ldiazmdiaz]

Quotient Rule at 10:14 min product was forgoten -2x(3x) = -6x^2

[@aguy5321]

-6x^2 was added to 3x^2 to get -3x^2

[@MiroJoe]

@@aguy5321 exactly

[@jaysonbalanday6054]

Good videos Sir❤ Sir I have my own formula for Higher Nth Root derivative. I can solve in just seconds.

[@VOID_SENTINEL]

Could you do the same for calc 2 and 3?

[@gz5]

Thank you so much 🤗 you are the best🫡

[@Cornel1001]

La primele mele derivate a trebuit sa apelez la carti rusesti, care chiar desfaceau firul in patru. Cam ca aici ! Cartile romanesti erau foarte sintetice si inexplicative. Bine ca avem computere ...azi!

[@saynomeows54]

You should do a pre calculus vid, then calc 2 and 3 and then put into a calculus playlist, at least can you do a pre calculus vid?

[@jackblack5082]

i think calc 2 was included in the above ... then again i did it so long ago i might be mistaken

[@utube460]

Superb education ! 👌👌

[@billmcmahon8949]

Would appreciate a top ten for vectors, please.

[@timwong580]

We need to know what infinity is! Either large or small..

[@MrWhyWhyWhy]

Need some help some one can tell me how he visualize that the amount of area of the box can be minimized using derivates?

[@wisdomackah5765]

Sir please Top 10 Basic Concepts in Discrete Mathematics

[@kieran1348]

Can someone explain the chain rule in the logarithmic function at 15:56 why didn't we keep the derivative of the argument down but instead took it up

[@engdoretto]

Great video!! Thanks a lot!!! 👍🏻

[@breezedoart]

You're a saviour.

[@gnamp]

Are you saying “F at X” when describing this: f(x)…?

[@prodbreeze]

Amazing video!

[@YadavAjay-f6u]

too good. thanks for awesome tutorial

[@d4sty.]

OMG THIS IS SO USEFUL TYSM,,,MMMMMMMMMM

[@ahmed.elzahar-maths]

Can any one answer my question after taking derivative to surface area should i equalize the equation to zero or defined if the case is different that is in video or always in optimization problems I equalize the equation of first derivative to zero only 😂❤❤

[@wisdomackah5765]

Please sir college algebra and discrete math

[@WhateverIwannaupload]

dawg, im so lost right now. @38:55 you said f'(x) of f(x) is going to be used but uhh what slope are you using or what are you even talking about? how did you know that to find the minimum value of x, the width, you had to do anything with a slope? that is to say, how is there a slope in a constrained problem when the minimum value is the only thing that can exist within it. I am lost.

[@sanahaskuranage8071]

Never heard f at x . Always used f of x

[@daniellejdevlin8882]

Excellent 👍🏻

[@manmohankaur2776]

Already dealing with lots of calculus everyday... The more i deal with it, the more deeper i'm in it I am a dentist...❤🎉😂

[@hfediting9322]

Best summrary

[@letsimage]

very nice video, thanks!

[@gkotsetube]

Must know #0 Before everything else, learn that f(x) must be read "F OF X", not "F OD X".

[@williamhunt5456]

You forgot the 2nd term in the numerator in your example of the quotient rule: -6x

[@MrJensenMath10]

The -6x^2 was collected with the 3x^2 to make -3x^2 (I just didn't show that step). Hope that helps!

[@EunouzEdham]

Instead of just math, what about math about chemistry or physics. It would be very useful and easier.

[@مرادمحمدصبري]

Thanks a lot

[@astatinitehelmet]

I need that "great video" button

[@williamraleigh7546]

How did you find the derivatives of the functions so fast?

[@virajpatil1017]

The rules of differentiation AND ESPECIALLY Integration!!!

[@d4sty.]

he explained it in the video, there are 4 rules to find the derivatives without newton's quotient

[@rnoze6938]

He uses the power rule every time x^n = n*x^(n+1) I would recommend watching a seperate video for each of the subjects talked about in the video especially for the power rule

[@The_voices_are_getting_louder_]

Thx, useful 8/5

[@NoosaHeads]

Thanks

[@MeaHeaR]

Is "Y" Valué 3 in first Exâmplé. ¿¿¿¿

[@odysseus9941]

At 4:22 is +4 missing. Seconds later corrected... 😇

[@WhateverIwannaupload]

@49:52 why didnt you keep the +c at the end of your answer?

[@WhateverIwannaupload]

the integral of the equation had the same antiderivative thus +c from the integral at 2 and the +c from the integral at 0 cancel out because they have the same C and F(b)-F(a) means +c from F(b) and +c from F(a) subtract from each other and it equals 0 in the end

[@allanwrobel6607]

@@WhateverIwannauploadyea, that’s the magic bit.

[@WhateverIwannaupload]

​@@allanwrobel6607 oh i came back to it and that wasnt it even tho it did work in that example. when you get +c after distributing to each part of the expression, you add each individual +c that is created but since they may or may not be the same number they equal to a +C.

[@WhateverIwannaupload]

@@allanwrobel6607 so there is little +c and big +c, big +c is the addition of all the little +c because they are not the same variable thus it cant be +2c or +3c

[@tonyhope1291]

Well done!!

[@WhateverIwannaupload]

can someone explain why ((1/2)Integral sin(u)(du) = (1/2)((-cos(u)))

[@WhateverIwannaupload]

mb. i mistake integral and d/dx for the same thing so, (d/dx) sinx = cosx and thats not what this is asking. the antiderivative of sinx is -cosx because (d/dx)cosx = -sinx to get the antiderivative of sin x you just have to get (d/dx)cosx to equal (d/dx)(-)cosx from (d/dx)cosx=-sinx and you can do that by dividing both sides by -1 thus (d/dx)-cosx=sinx and that means the antiderivative of sinxdx = -cos(x) + C

[@roselorecaldean1068]

I'm learning online degree also to finish my classes

[@Vishal_IItian]

Very useful

[@shakhawatalammubin8337]

আমি বাংলাদেশ থেকে আপনার ক্লাস দেখছি😅

[@jakov8590]

Nice

[@stuartsbartlett3829]

f"(x) > 0

[@trendsacrossafrica]

Good

[@NobleCuriousty]

Im 6 grade and I find understanding those concepts pretty difficult. Am I too dumb for this field ? I want to be a mathematician.

[@mikeaintnormal769]

Dude if you're even interested in calculus in 6th grade, you're leagues above your peers. Keep trying to understand this, I promise it will open many doors in your life. Dedicate the time to learning algebra, algebra 2, geometry, trigonometry, and eventually move on to this 🙏

[@ManjuReddy-z2n]

Bro u are just now in 6th grade 😂 and worried about calculus I appreciate your attempt see there is no need to worry calculus is introduced to u in 11th or 12th grade if you are strong in fundamentals you can easily solve . I suggest you to maintain the same curious about learning maths , math is pretty fun if you are doing consistently .

[@pranavtubehd121]

Calculus is a topic that is usually taught when you're usually in 12th grade(here is India) you could try starting it before and try to understand(which is what I did).personally it made 0 sense at the start but after you know exactly what "slope" "tangents" "secants"(around 10th grade)is when I understood derivatives.

[@idimamadou920]

You will be a Mathematician, you have what it takes to be a Mathematician (passion and curiosity). Just don’t give up.

[@hashimzakaria8499]

I’m sorry but your in sixth grade and you’re worried about this just keep going for your age your awfully interested if you keep trying you can do it ❤❤

[@riyazkhan-i1r6f]

MAKE THEM KNOW CALCULUS; GEOMETRY

[@KiranKumar-gs7mp]

🤩

[@verano.violet]

Are you saying f at x?

[@bigwalrus3901]

F of x

[@RLpląyř]

Is it weird that I’m an eight grader and I can already do derivatives?

[@Christopher-e7o]

Shit in one hand wish in the other tell me which one fills up first 🤨

[@KartikeyPatel-f8e]

We'll information good show and 😅

[@adityapandey624]

Are you left handed ? "Leftie"?