Calculus: Derivatives 1 | Taking derivatives | Differential Calculus | Khan Academy
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- Опубліковано 2 жов 2007
- Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.
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Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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ahhh 240p, we meet again in 2024.
😂
calculus is better when explained by a human than a book
that profile pic just double confirms you are an alien
i like you
Matthew Ouyang I prefer textbook but just my opinion
Better when explained by a youtuber than your prof
Matthew Ouyang preach
CAN WE TAKE A MOMENT FOR HOW MANY STUDENTS LIFVS HE HAS SAVED. GOD BLESS. LIKE ACTUALLY, THIS IS LIFE.
in 10 minutes he can accomplish what my professor couldn't in a week.
Come at me scrublord
Yeah he saved their "LIFVS"
Many I guess,I'm one of them
Part of it is just the fact that he takes his time, and you can rewatch what you don’t understand
Sal Khan - Saving Calculus students since 2007
humble beginnings...
oi, i just saw you on this other vid about some rapu guy also explaining derivatives
yep...
anyone at 2019. khan acdemy still saving the students
Palanivel Govindaswamy lol u right
It's in the description. For free. For everyone. Forever
Yep
Palanivel Govindaswamy yep
Yup these people are going straight to heaven
Wow, this video is nearly 10 years old, dang, the amount of people you have saved!
Almost 12 years now...
@@diegoarpino2080 almost 13 now
@@radwanlone4238 Yeah. Wow. Sal is still saving our asses to this day.
@@diegoarpino2080 its gonna reach 14 soon :P
Still saving people to this day.
That's the idea :) Start with the arithmetic videos. Then do pre-algebra, algebra, geometry, trig, calculus in that order. You might want to use the free web app we have to practice.
Fisical polcy
I have always thought of Geometry as a very important prerequisite for Trigonometry.
It seems like a lot of people consider only Algebra to be a prerequisite for that course, but Trigonometry does deal a lot with triangles and parallelograms, and also circles to some extent (the unit circle), so it makes sense to finish Geometry before that course.
Can u use better software to draw it or explain
@@shardulkolekar5285 Dude. He is providing information that they provide in high school for free. Can you just take this for granted ??
Thank you for you help ! Just a suggestion, not a lot of people saw your comment because it is down here. I would suggest pin your comment so it is at the top so people can see. Thanks again :))
I remember not being good at math. In college I started at the lowest of low math class, which wasn't even college level. All together, I had 11 math classes. It was very hard, I did have to repeat a few, but looking back it was all worth it. I have a very good high paying job in engineering, with great benefits. I know this stuff is hard if you're currently taking it, but you will thank yourself later. You can do this. You are worth it.
Thanks for this man. It keeps me motivated.
So very inspiring, thank you.
Very powerful words ❤
YOUU are SOOO MUCH BETTER at explaining this then my teacher!!
Than* lol
Wow, u got verified in 9 years...congrats
@@Man-ds9ir than* don’t capitalize the “t” lol
The first letter of any sentence should be capitalized lol.
I'm 9 years later, but couldn't agree more!
I appreciate that you explain it in a way that someone who doesn’t know this can understand it. That seems like an obvious thing, but so many teachers in math can’t relate to the students who don’t yet understand the concepts. Thank you.
MIT took average 30 minutes or 40 minutes . Sal Khan answers in just 6 minutes.
i doubt MIT takes 30 minutes to explain derivatives. a high school class i'm familiar with spent about 10 minutes on it man :/ hope calc went well for you either way, gl on your career.
@@spiderjerusalem4009 at your age I was still escaping classes to go play games with friends
@@spiderjerusalem4009 Wow, you skipped grades too?
@@jackhenlo2181 ?
The truth is, that @@spiderjerusalem4009 in the near future.
13 years later and your teaching still helps so much with this calculus. All I can say is "thank you".
that was beautiful.
i always feel like crying a bit when math clicks so well
🙌🙌
Sal, how do you do it? How do you make me understand everything, no matter how complicated. I am so glad you are in education.
I'm fresh out the womb and I get this easy
ki kus r/wooosh
this is probably the best comment section on youtube
Holly Ashcraft exept for the fact that people have to cram before tests. That's not very nice.
E-AG John two years later I comment: we are all desperate.
Man you describe things 10 times better than my maths teacher!
shut up dumb ass
PhobicPhoenix's teacher detected.
@@ewqdsacxz765 lol
I can't believe this 12 year old UA-cam video series teaches better than our professor
I'd been suffering from derivates for months now and this video turned on the lights in my head in less than 10 minutes, altough my mother language is not English!! I'm crying because of happiness, thank you Mr. Khan!!
15 years after the video has been posted and people are still grateful. Thank you very much sir.
🎉
This guy's helping me even after 12 years... Hope he's doing good
This was cutting edge 16 years ago, Before the advent of smartboards
Sir I love u more than my girlfriend
Couzz every time she made me confuse about my future .
But u are the only one who gives clearity about that in one shot..!!😘😘😍
This video was made when I was 1 years old and now I’m watching it 😂great video
same lol
knowledge precedes time
This is by far still the best definition of derivatives I can find on youtube. Other youtubers don't even explain that it's the slope that you're looking for.
why am i spending so much on my college course when i can just watch this for free lol
Cause I'm doing this 2 years before graduating secondary School (high school) This isn't college work where I'm living. 😂
@@DestineChinae Same
this is basics in high school .infact i learnt it when i was 14 yrs old with interest.but in india pace of teaching topics is completely different
Dude, you just blew my mind. I was having so much trouble understanding what a derivative actually meant and with this video, all my classes and previous research came together and finally made sense. Thanks a million.
I haven't taken a math class in 10 years, and now that I enrolled to go back to school for Electrical Engineering, I was put straight into calculus. Your series of videos are really helpful in getting the rust off my math skills and helped me get up to speed since we are starting with derivatives. Thanks so much for posting.
you are the best, thank you so much, if it wasn't for this i would be failing classes hardcore
16 years and the video is still one of the best available
I just wanted to thank you from the future. Idk how I would manage all my university classes without your vids
OMG the moment when all the time spent studying online trying so hard to understand mathematics and seeing finally how all these concepts come together, it's absolutely amazing! I mean I am def not a math wiz, but I can finally solve problems and understand theories and equations! Thank you!
so this was there the whole time when i was at school and struggling??? didnt have internet then...iam learning all those things i couldnt, now. self learning is the best way if there are people like you to help.
I cannot believe that it was so easy and I was getting so frustrated of not knowing how to find the slope of a tangent line to a curve.... Thank you so much
I am one of those who is watching this after 11 longs years of publish of this video. I was 3 yrs old at that time... I have become a big fan of Sal khan since I have started using Khan academy....Thanks Sal.
He is the third God to me after my mom and dad!
*Can't draw axis straight but can draw the line for the fraction perfectly straight*
Awesome explanation btw, really helpful
15 years has passed and i got help from this.
I believe that this is even better than 3b1b's explanation. My man, you saved some students' life fore sure
This is such a great explanation, everybody focuses on the formulas when explaining Math, the big picture and explaining what is achieved by the formulas, is what helps people understand
7:27 thank you my OCD was going through the roof
Hahahahaha same
my man had a better audio setup 15 years ago compared to most youtubers’ today!
very logical there is no problem along we have teachers who want to teach very properly like you thank you so much for your explanation
2019 still saving lives.
2020 now
Very good explanation! We need more teachers who can actually teach!
The way Sal teaches all these math topics is so much interesting that i started to love math after hating it for 5 and 1/2 years
Lol
Seeing how sal has changed in terms of how he uses the drawing program is so cool
Khan Academy has saved my grade on numerous occasions, but is there any way this video can be remade? The sound quality isn't so great.
its my first year in aeronautical engineering, thank you 😊
I've watched about 8 videos on derivatives, and this one, made 16 years ago, was the best at explaining what it really was... if that's not impressive, I don't know what is.
I took Calculus 1 as a first-semester sophomore in college and failed. I passed with a C the next semester. That was 2001. This UA-cam generation is very lucky because videos like this are more easy to understand than my TA's office hours.
You're a doll for making these; math will be the death of me
DUDE!!! This is Legit. Well done man. I am seriously impressed!!!! You are excellent at presenting. Imagine how many people will actually understand Calc 101 now...
-Adi
something about this guys voice and manner of explaining things... it's so easy to learn from, thank you!!!
He has explained the topic of calculus in a clear and simple way. Moreover, he uploaded it in 2007! The beginning of UA-cam, I was 5 years old then, and now I am studying this for my 11th grade math!
tbh a such an old video is still a masterpiece today as well(2019 ,oct)
Didn't realise I was studying calculus from a video as old as me😂
THIS is brilliant. A clear, concise explanation of something I have been searching for for months. Thank you :D
This dude made a video when I was 1 yrs old and is now teaching me better than my calculus teacher
Why is this different then what my teacher is teaching , I don't understand a thing in this video, but anyways keep it up your videos really help me with studies, I mean the other videos of khan academy. Why do I take add math 😭😭😭
Who's here in 2019 screwing with their lives?
2020. During quarantine man. Stay safe.
Just sat through a physics course in preperation to starting my physics degree. It's been quite a few years since I was at school but wanted a fresh start, being unhappy with my carreer. I had no ideas what my tutor was talking about today... Now I very much do. Thank you so much!
Finally! I understood exactly what a derivative is! It's actually better a video in English than a book in Spanish.
Didn't know John Mayer taught Mathematics
People talking about this saving them, while I'm watching this to fall asleep
You’re a lifesaver especially in my online classes
13 years since i first was "taught" this at school, but now i finally understand it. Thank you Sal :)
0:06 you already lost me dog
Good luck to everyone else who is going over this stuff last minute before their test.
A 9 minute video was more helpful than 4 chapters in my ridiculous textbook
you young people dont know how lucky you are when i took math in high school and college i had to teach myself since the books were odd but the teachers were even worse lol now with the internet and online youtube videos this stuff is way easier to get and now that im reviewing this like 10 years later since i want to go to graduate school it makes more sense to me now!
Man you’re not kidding! How times change. The population gets smarter each day.
You need magnesium. You’re right, it’s one thing to live in a world with abundant data, but if your data quality is low, that’s a problem. Garbage in, garbage out!
schteeper, schteeper, schteeper
Iago Soriano
Its been 2 years and no one has replied to your comment, so i did
Cherry Blossom it’s been 2 months and no one has replied to your comment, so I did
Bushy Integral it's been 2weeks no one replied to your reply ,so I did.
@@ithirah1304 it's been 3 weeks no one replied to your comment,so i did
@@milanalemania42 It's been 2 months and no one has replied to your comment, so i did
Black panther to cap :
Give this man a shield 🛡.
Me to khan Academy:
Give this man a better software to teach
Raghav geeky Me to you:
Give this man the ability to check the upload date
Thank you so much!! I finally understand what my teacher has been trying to "explain" YOU ARE A LIFESAVER!!! I love calculus :))))
thank you! my calculus teacher skipped this explanation and went straight to the equation. so glad I found this video!
Great help. You also remind me of Andre from The League. No offense.
DR. ANDRE NOSE DICK
Very helpful! If you take too many derivatives, you could get SLOPEHAPPY! Just a little math humor that may be enjoyed by some.
Word Sailor thank you
You make us understand Sir thanks so much. ☺
2020, decided to learn something now, god bless Khan Academy
If ur a professor ur students must be the best. I just failed my first caalculus test and if i had found out that u were so great before the test i would have done m,uch better. Thanks again and keep it up ur saving a lot of people because these teacher teach like there speaking with there companions or teacher friends.
I recommend Geogebra, it is free
Could you please send the link
i turned off the sound and played dub step with it... Great
The reason why khan academy solos all coaching is this
Oooo gosh this video is 12 yrs old ....and still the best one❤
math not fun
Thank you! Now this makes sense to me! Now I can actually visualize the meaning behind all these numbers instead of just seeing a bunch of numbers.
How I wish, we had this during our school days. Makes it so simple to learn. So many of us would have fallen in love with mathematics
The video that single handedly saved millions, the creator will go down in history
This guy taught me the subject and made me understand it in 10 minutes where as my teacher took 2 hours worth of classes and made me super confused.
I was 5 years old when this video was posted on UA-cam. Now I'm in college and it's still of great assistance to me. Thanks!
I dropped out of calculus 3 times!! About 5 Years ago..since then, EVEN changed my major! Back then, just 5 years ago, UA-cam was not so popular yet..and much LESS VIDEOS like THIS were NONEXISTENT! DAMN!! WHY ME!!?? WHY!!??? This video FINALLY SHUN some light into derivatives! Maybe I will finish my current major and take calculus again some day.
I'm lucky, my community college professor explained this with amazing grace. But I owe so much thanks to Sal too (and Khan)! The fifteen years ago I passed was high school algebra 2, but dropped out of college and worked as a lineman for 15 years. But now I quit to go back to college (just before covid happened), started studying math 8hrs/day everyday, I was able to pass precalculus 1 & 2 (teacher knew my story and was stunned I passed lol) and am now in Calculus 1 well on my way to an electrical engineering degree. Thanks again Sal. Without you and Khan it would not have been possible.
update bro ?
Thanks for asking @@notz7737! I am at university now and doing great. I've made it through calc1, calc2, calc3, differential equations, and linear algebra (plus physics 1 & 2 and all the other hard undergrad weeder classes). Amazingly I am really good at math now. Tonight I'm brushing up on Laplace Transforms for a Signals & Systems midterm Thursday. Calc2 was my hardest math class, but to be honest, things I learned two years ago are still clicking into place here and there. One thing to keep in mind is that math is something you can visualize. Take functions in R^2 for example, you can see them plotted on the x-y plane, so where some might only see something like f(x)=x^2 as letters and numbers on a page, being the student that knows how that plots onto a real (or imaginary) plane is invaluable and only gets more and more useful as your math education progresses. My best advice would be to ALWAYS make a note sheet for every exam and keep them organized. You'll be using them all the way through college. Note sheets I made in precalc2 are still proving useful. Oh, and I have not opened a single math textbook, all my at home education is thanks to papa youtube.
Im a student my name is danny and khan academy realy helps me learn.Beacuse in school im having truble learning so i recomend everybody that needs help in school to try khan academy and its free!!
its about time something like this was available to all. Well done dude.
This is the only place on the internet that I could find that tells me something useful about derivatives =)
Khan Acadamy is definitely a god’s gift
Thanks Khan Academy!! Grettings from Argentina
This foundation of differential calculus is explained clearly by you. The graphs are the best way to understand these. I'm grateful to you and your team. Please keep up! Thanks
you explained this really clearly! i have an assignment due in 2 hours and thanks to this video it will be in on time. thanks so much!
they know me so well
this was one of my recommended videos