After passing the class with a C, I can confidently say that Calc was deriving my brain crazy, I am at my functing limit. But even though my hatred for this clASS is Undefined (especially at the origin 💀), I really liked your video.
@SuryaBudimansyah11 ай бұрын
A perfect remainder for integration topic : Always add + C
@noodle77889 ай бұрын
@@SuryaBudimansyahI got a 99 of 100 on my calc 2 midterm because I added a plus C to a derivative question 😔
@mosabalhayek86756 ай бұрын
bro thats so good btw dont be such a nerd @@noodle7788
@basilvanderelst1286 ай бұрын
@@noodle7788 skill issue
@ytman-lq2mj2 ай бұрын
Neat
@cefcephatus11 ай бұрын
This is the perfect clip for the 1st class in calculus. Then, you should ask students how they think about it, clarify it for the next 45 min and then, start the traditional course for real.
@preeeence Жыл бұрын
Straight to the point and not padding for extra watch time? You earned my subscription!
@respectable254011 ай бұрын
nobody needs to earn ur subscription ☠ who are you bro
@tylerfishie11 ай бұрын
@@respectable2540 cant be talking all that when you shit at fortnite lil bro
@extreme418011 ай бұрын
@@respectable2540 dayum chill bro
@lucascreediv128311 ай бұрын
why did you feel the need to share that information
@pussyahlipz11 ай бұрын
bro wrote a yelp review on youtube
@antreaslouca726 Жыл бұрын
Amazing Quality of Content - Simple and Easy to Understand - Short and To the Point
@ColbyFernandez Жыл бұрын
I think this is amazingly done. Its very concise and gives a simple and elementary overview!
@MoguMogu81811 ай бұрын
Seems so easy looking back compared to the amount of differential quations I have to do now
@alli32633 ай бұрын
this video is SO GOOD. i was completely forgot all of calc 1 and was feeling overwhelmed trying to review my notes. this broke everything down so clearly
@VENATE_ Жыл бұрын
Im currently taking AP Calculus AB my senior high school year and we’re currently on derivatives 😁 So far it hasn’t been too bad
@cameloogabooga11 ай бұрын
i’m in the same position! i have a test on limits soon lol
@soughtbug11 ай бұрын
I’m loving my ab class so far. Easily my second favorite class being physics c m
@nyro540311 ай бұрын
I just started AP Calculus BC my senior year but I never took AB, honestly all of the AB stuff was super easy to understand just dont second guess yourself and you'll do amazing!
@soughtbug11 ай бұрын
@@nyro5403 yea. I’m self studying for bc since ab concepts are pretty easily. Like I learned basic derivative and integral stuff in like 5 minutes, so imma just do bc
@maiamaiapapaya9 ай бұрын
I watched this video at the beginning of the semester and it was all gibberish. What a wonderful feeling to rewatch it at the end of the semester and actually know what all this means!
@koothbrush9 ай бұрын
Since you just finished calc 1, might I suggest watching my calc 2 and 3 videos 👀haha kidding aside, glad to see it (seemed like?) you enjoyed your calc 1 module!
@shailmurtaza908211 ай бұрын
I think this is the best video I have ever seen about basics of calculus and what it is Perfection!
@The_Reaper8611 ай бұрын
The concepts seem nice, but my fear of resolving them is bigger.
@Mikealisious11 ай бұрын
Idk why but in class i can be focused and paying attention but have no clue what im actually doing, thank you for giving labels. Its always hardest to know where you are struggling when you dont even know what its called to ask for help. differentiation rules, yes! I have a name! thank you!
@Isaacoun10011 ай бұрын
I love this video so much, super explicative with great visuals
@0xA0A7 Жыл бұрын
This shit's awesome man, keep it up and you're gonna succeed
@koothbrush Жыл бұрын
Appreciate it!
@gabrspanksmen11 ай бұрын
I’m a sophomore, just started pre-calc so I’ve got a little while before I get to this obviously but these concepts don’t seem overwhelming, like yeah I don’t understand them now but I feel like I’ll be able to handle them
@naderibrahim30439 ай бұрын
As a junior who is studying calculus, I can confidently say that you're completely right. You might not get everything now, but you will when it's time to do so.
@timrogers263811 ай бұрын
I wish you'd been my Calculus 1 teacher. I would have actually learned it.
@princekhadka5481 Жыл бұрын
Wow!! really cool video for many students new to the subject.
@youtubeenjoyer-bg3tc4 ай бұрын
It's nice to finally watch this and understand everything.
@LeTtRrZ11 ай бұрын
Integration and the fundamental theorem of calculus probably deserve a separate video. I don’t think “area under a curve” quite hits the mark when it comes to describing the integral. For example, I was recently pondering how I might calculate how far the tide would come in at high tide if all I had was a function of shore angle with respect to height. There are probably better ways to do this, and I might have been wrong, but my speculative answer was to integrate the angle function from h1 to h2, take the cotangent of the result, and multiply by delta h. The only condition is that the angle must always be greater than 0.
@noah-tl1gv11 ай бұрын
Ok
@thespeedyyoshi11 ай бұрын
That was pretty dope ^^ Good summary. The execution of it is much harder tho hahaha
@Jomjom.0105 Жыл бұрын
Very helpful, thank you, the intuitive explanation of calculus.
@stratford110 ай бұрын
I just learned all the derivative rules and I was wondering what was next. I knew the gist of it, but not what exactly we would be finding. Thanks!
@koothbrush10 ай бұрын
You have a long and fun journey ahead! You can check out my calculus 2 video to get a preview 👀
@simonuygongco8560 Жыл бұрын
MATH IS SO COOL
@arneshpal7702 Жыл бұрын
No.
@moltenmath Жыл бұрын
@@arneshpal7702 Yes.
@NOL_bm Жыл бұрын
@@arneshpal7702 Yes.
@juxx9628 Жыл бұрын
Wait till Riemman's Tensor comes
@nuwang2381 Жыл бұрын
It is until you get to highschool and the information is taught in the most esoteric way imaginable
@silverspoon298711 ай бұрын
You lost me at limits
@hdhsgshdsbwbz7840 Жыл бұрын
really fucking nice, but i was left questioning how to use a derivative in an applicated example (i mean, the explication on how to use derivatives in the examples you gave) still, i love your videos man ❤
@koothbrush Жыл бұрын
Appreciate it! Atleast for the physics example, the derivative of the displacement time function gives you the velocity time function. Similarly, the derivative of the velocity function gives the acceleration function. Personally though, I find the optimization example much cooler, but I'll leave the fun of discovering that on your own
@arolimarcellinus8541 Жыл бұрын
Every engineering problem is collection of differential equations. Mass action law, ohm's law, fluid dynamics, compound interest,
@sxnchou11 ай бұрын
@@arolimarcellinus8541even in biology and life sciences. the growth of a population, amount of medicine in a person over time, virus infection growth rate
@alice.10711 ай бұрын
Best 5 minutes and 23 seconds of my life
@John-ru4gz Жыл бұрын
Im taking my first calc class in uni this fall.
@moltenmath Жыл бұрын
You did a really good job so congrats. 👍However, you may want to focus on other areas of math as there are already thousands of way superior videos on this exact topic.
@Crimson_Slushie11 ай бұрын
i wanna take an engineering career in college, but i've always hated math but after watching this, calculus 1 really doesn't seem as complicated as i originally thought it was 🤔
@plaguepandemic565111 ай бұрын
As someone currently taking Calc I, it's mainly just people explaining very simple concepts in very confusing terms. Learn to translate math notation into plain English (like this dude did in the video) and you will excel. This also separates great math teachers from terrible ones IMO
@sly_sense11 ай бұрын
@@plaguepandemic5651 This is so true. Its hard to follow along with calc teachers because they treat math notation like the symbols are intuitively translated to english.
@RadioActiV_11 ай бұрын
Calculus is just Algebra 2 with a few new symbols that are just there to scare you
@Crimson_Slushie11 ай бұрын
that's a better way to put it lulz i'll keep that in mind
@nuwang2381 Жыл бұрын
Thank you so much for the video, it looks like an amazing primer for calc and is something thst I have no doubt will help allot of students out when it comes down to to application of calc
@silverscalederg863211 ай бұрын
That face when calc develops "time travel" via "divergence" makes just as much sense as "imaginary numbers"
@sanketjain746311 ай бұрын
math exam in 5 minutes wish me luck guys 🙏
@RangersGirlJackie99 Жыл бұрын
Looking back at calculus after analysis lol simpler times 💀
@liam8370 Жыл бұрын
ah yes the point where u realize school was going easy on u lol
@bryn1714 Жыл бұрын
Thank you for this! I really had such a hard time understanding this
@fredsalter191511 ай бұрын
I can dig the formulas and the need for simplifying equations. I just cant wrap my head around the concept of infinity......
@ToastedRen11 ай бұрын
A Trip To Infinity, I think its on Netflix, but specifically the infinite hotel part really helped wrap my head around the concept of infinity. Its awesome and I highly recommend it.
@fredsalter191511 ай бұрын
@@ToastedRen Thanks, Ren!
@blazearmoru Жыл бұрын
I saw the pepe and immediately autocorrected all of calculus to ALL OF CIRCUS.
@runenorderhaug764611 ай бұрын
TBH there is limits, then there is derivatives in a way that makes you format them in a way where you will get it wrong if you oversimplify it, then next there is the easy rules that allow you to correctly simplify the derivatives rather than ending up with a weird half divided thing
@waffleisnice Жыл бұрын
This need more views
@JustCallMeDom3111 ай бұрын
This accent sounds Filipino. Are u Filipino? Edit: also great vid man, the way my school explains calculus is terrible
@hwlsgrl9 ай бұрын
hahaha i love how the first thing i noticed was the accent and was abt to ask the same thing
@koothbrush9 ай бұрын
Yes I am
@mr.niceguy939411 ай бұрын
Passes Calc 1 with a B but failed the Credit transfer just to be put back in Pre-calc and set to retake calc again in the summer. Love School.
@nicholasto896 Жыл бұрын
nice video, even though I don't understand most of it. I'll comment back when I've took precalc honors
@FeedMyBalls Жыл бұрын
took hon precalc over the summer. its a breeze, you can do it
@yazeedalfrog11 ай бұрын
I love it, this helped so much
@ovencake52311 ай бұрын
this man does in 5 minutes schools do in 5 months
@WildernessMedic11 ай бұрын
Cool I’m just going to test out of Calc one after watching this
@leonardoardizzone960611 ай бұрын
Got 2/30 in this exam. Then I switched to Political Science and everything's going well
@sheepcommander_2 ай бұрын
POLITICAL SCIENCE MAJOR
@Leo-cg9fv2 ай бұрын
@@sheepcommander_ LOL
@saleemali5942 ай бұрын
I'm sorry you failed calc 1 bro ✊😔
@Leo-cg9fv2 ай бұрын
Like 90% of my former classmates😂😂
@MuhammadNasir-ou2nb11 ай бұрын
how did you make this video? Which software you used ?
@gansky99911 ай бұрын
thanks youtube's for recommend me this video
@jeromepalayoor Жыл бұрын
i watched it at 16x speed i think im a mathematician now 💀
@evangibson149 Жыл бұрын
Damn i wish I could watch things in 16x
@jeromepalayoor11 ай бұрын
@@evangibson149 if ur on laptop, i add this js code to make it faster: javascript:document.querySelector('video').playbackRate = 16.0; yea now be a mathematician 💀
@dhrjarun Жыл бұрын
Thanks man, subscribed
@spiritami2339 Жыл бұрын
I SEE AND I LEARN.
@urnoob5528 Жыл бұрын
Man those are called piecewise continuous function
@TycoonBarnaby Жыл бұрын
Quite a few mistakes in this video, but it was especially sad that you didn't include the Power Rule for derivatives
@99ish9111 ай бұрын
Wow wait that's actually it. I took honors calc last year and this year im doing ap and that about sums it up
@Wryler811 ай бұрын
Great video. I hope Isaac is looking up from Hell and proud of his legacy
@pedroveloso642211 ай бұрын
You just saved my butt!!! Thx
@LLOYD-uc1bq11 ай бұрын
hey do calculus 2,34 i loved the style :000000
@sircartier470310 ай бұрын
Implicit functions break straight line test
@Bani812010 ай бұрын
I did some of this in AP calc Ab. Does this class use calc 1 stuff?
@dubu6300 Жыл бұрын
TRULY A BEAUTIFUL WORLD 😍
@Gado122110 ай бұрын
thank you!
@DaGoat107711 ай бұрын
Do one for Calc 2 and 3
@koothbrush11 ай бұрын
just uploaded the calc 2 one!
@jima45133 ай бұрын
I think im weird that calculus was my best subject in highschool (even higher than ECONOMICS which is middle school algebra) and 12th grade here is as hard as university level
@sahirs10011 ай бұрын
crazy how its been less than 1 month and my calc bc class is already done with derivatives
@user-hb9dy4jf2k Жыл бұрын
Question!! so basically, if we're asked to find the derivative of a given function, does that mean that the given function is already the area under the curve considering that the opposite of derivation is integration?
@r3birth Жыл бұрын
Yes! However, be careful with constants, as technically integration yields infinitely many functions (the reason for the "+C"). For example, the integral of f'(x) with respect to x is f(x) + C, and by evaluating it at two points a and b you get the signed area of f'(x) BETWEEN a and b: f(b) + C - (f(a) + C) = f(b) - f(a). Notice how the constant disappears. However, evaluating at only one point only gives you the signed area if you happen to get lucky since we still have the annoying constant term: f(b) + C The FTC II summarizes what I've just said in a neat formula.
@RangersGirlJackie99 Жыл бұрын
To add to R3birth's answer, it's also important to note that "area under" is not necessarily interchangeable with the "anti-derivative" because integration does not guarantee differentability of F _and_ equality of F' and f. In other words, you're safe going in the direction that you're talking about: when you know F is differentiable on an interval and F'=f, then yes, F is the both area under _and_ the antiderivative of f=F', but you can't assume differentiability or equality going in the other direction, even if the indefinite integral accurately describes the area under f on a given interval. For example, take f:=sgn(x), right? The function f is integrible on [-1,1] and you get the indefinite integral F:=|x|-1, but because F'(0) doesn't exist, F is not the antiderivative of f with basepoint -1. Thomae's function (aka the modified/reduced Dirichlet function) as h(x) is another classic example of this where H=0 because countably discontinuous* points do not have an effect on integration. Obviously H' exists and H'=0, but because h is Thomae's function, H' doesn't equal h when x is rational. Probably not super important to keep in mind if you're just doing worksheets or whatever, but it's a good corollary of the Second Fundamental Theorem to point out. Basically, the antiderivative F must not only be differentiable on _all_ points on the given interval (the sgn(x) example), but F' must _equal_ f at all those differentiable points in that interval (Thomae's function example). Also probably worded some of that poorly, but the tl;dr is that the first part of your question is correct, as R3birth explained, but the "opposite of derivation is integration" part is not _necessarily_ correct. The opposite of the derivative is the antiderivative, and the indefinite integral may be the antiderivative, but it also may not be because the definition of antiderivative is more strict than simply a function being Reimann (or even, more generally, Lebesgue) integrible! *Edit: it is probably worth expanding on what I mean by "countably discontinuous" here, if you haven't heard the term. Thomae's function is "countably discontinuous" because h = {1/b when x=a/b is rational, and 0 when x is irrational}. Because any rational approximation of an irrational will have a very large denominator b, we can say that for any irrational x, there exists a sequence of rationals (xn) where each rational xn is a better approximation of the irrational x than xn-1, and for any ε>0, there exists an M s.t. for all n>M, |h(xn)|
@evangibson149 Жыл бұрын
I’m in AP Precalc, so hopefully we will cover everything in this video at least briefly
@karthiktirumala1773 Жыл бұрын
Wait wtf there’s an AP PreCalculus now??
@evangibson149 Жыл бұрын
@@karthiktirumala1773 yeah lol it was introduced in his year
@ToastedRen11 ай бұрын
@@evangibson149 isnt it just pre-ap cal though?
@supppy11 ай бұрын
you wont lol, ap precalc is just alg 2 with some more stuff.
@karthiktirumala177311 ай бұрын
@@evangibson149 idk about AP but when I was in high school, I learnt about Limits and basic Derivatives in PreAP Precal
@michaeljoviecastillo7579Ай бұрын
Am I the only one who can't recognize a thing (except for the axis one )in this video? I'm about to start may college life in BSCP course and I don't understand a thing
@leapbtw11 ай бұрын
what about series and successions
@koothbrush11 ай бұрын
I usually see series, most commonly taylor series in calc 2. I'll be making a vid on that soon!
@sneaks10011 ай бұрын
yes
@devond.968711 ай бұрын
It’s funny that we’re already on continuity in my first week
@philochristos Жыл бұрын
Yup. That's about it.
@B-Dog111 ай бұрын
Damn this is accurate!
@deflmaokioo9941 Жыл бұрын
Well, you didn’t include disk/washer method, and cylinder shell method. But I’m assuming most calc 1 professors don’t teach it until calc 2
@urnoob5528 Жыл бұрын
Disk washer isn't some fundamental method for anything Just specific application, u won't use it ever again after that, and really it s just basic integration
@jerryyi33432 ай бұрын
did you forget the power rule
@user-tl3pt9ux7k5 ай бұрын
when they didnt cover the 3d application of integration with inverse square functions, thats when its no more fun and games
@SmileyIsAlone11 ай бұрын
Not going to lie math is much easier than I remembered
@shoxruxsharifov79757 ай бұрын
❤❤
@alexdaboss435210 ай бұрын
You forgot squeeze theorem.
@theonewhoasked51311 ай бұрын
Ok so what you're saying is our Pre and Basic calculus in junior high is just the begging? Man im so done
@mrmistermelom11 ай бұрын
wait theres a sequel?
@koothbrush11 ай бұрын
soon!
@hebertpeluso473911 ай бұрын
Waiting for the calculus 2 video.
@koothbrush11 ай бұрын
ill upload soon! swamped by other responsibilities right now 😅
@odysseas5735 ай бұрын
All of this is high school math in greece. Why would they do this?
@alcheicАй бұрын
This is highschool math in the US as well, so you might be thinking of college calculus 1, a class with the same name but much harder content, usually taken in college or university.
@justinsee8822 Жыл бұрын
WOAAHHHH
@qwertymchurty11 ай бұрын
yeah im killing myself
@wkylehamilton11 ай бұрын
👏👏👏👏👏👏👏👏👏👏
@blender6895 Жыл бұрын
🎉💕
@david_ga8490 Жыл бұрын
"So easy" * epsilon-delta proofs and Taylor series appear *
@buen0_ Жыл бұрын
You sound like Matthew from the chosen
@kimbanzon7152 Жыл бұрын
wow math
@onbushshifting400011 ай бұрын
Expected a joke video w/ memeing on cal 1 ngl w/ that pfp and thumbnail
@amiram7865 Жыл бұрын
Not Limit definition, not real U calculus, well, maybe for engineers I guess