Calculus: Derivatives 1 (new HD version)

[satisfiction]

6:45 The most colorful graph of x² I have ever seen.

[surfer3595]

Mathmagical!

[poopsmith21]

...is this...is this the future?

[444zane3]

Good vid. Whats with the tags?

[Badassbubbabear97]

End of video, Derivatives learned AWESOME!

[Badassbubbabear97]

11 minutes in holy shit my head hurts!

[Badassbubbabear97]

From this i learned alot in like 3 minutes! MAKE MORE VIDEOS! by mid 2012 ill be the smartest 13 yr old ever!

[supercarrot3000]

Dude you explained it in English! You're not allowed, now go back and record it again in Quasi-Greek. I understood the 'lim' thing, I didn't mean to, it just slipped in and I don't know the secret handshake.

[CallOFDutyMVP666]

In the limit definition of a derivative, why do the f(x)'s NOT cancel out in the numerator, but the x's in the denominator cancel?

[varuchenko]

@CallOFDutyMVP666

The denominator is (x+h) - x. Here u can split it as x+h-x and hence cancel the x. But the numerator is f(x+h) - f(x). Here we cant spilt f(x+h) as f(x) + f(h). Its not the same since the function is based on the value f(x+h) not f(x) + f(h).

[CallOFDutyMVP666]

@varuchenko Thank you for clearing this up.

[Brusko651]

It should be f ' (x_0) instead of f ' (x) at the end of the video, because the formula is for the derivative at the point "x_0".

[johnkirkhoughton1]

I wish I had you as a teacher the first time around.

[simplelife1021]

I am addicted to 2 things: caffeine, and learning Calculus from you.

[TaySwiftRocksMySox]

I'm in Grade 7 and I understand this! Good job!!

[MementoMario]

@idiotrun1997 What happened? Are you still alive?

[MementoMario]

@theendjr Yes, people still describe it this way. It isn't outdated.

[ParkwayStudios]

LOL SAl YOU ARE THE BEST : ) I even showed my grade 8 brother this and he gets it.

[CyFlavour]

why the f. are here even 5 dislikes?!?!?!

[varuchenko]

@CyFlavour

Probably our math lecturers

[theendjr]

Do people still use this way anymore? we learnt a different way of doing it, more accurate and my teacher said this was out dated?

[MrPraise88]

thnks for this explanantion!!!..I thinks this is the best explanation about how the how the first principle of derivatives was exist!!...my lecturer is suck!!...she dose'nt explain how the first principle of derivatives come out....mostly teacher just directly jump to the example of Question that applied this very concept....A FULL CREDIT for U utubers!!!! thnks....

[shadowasianlol]

Lol what the hell am I doing here: I'm still a Freshman xD

[coryandtom]

YOU ARE AWESOME!

[MCsPureza]

i already thought my teachers were stupid. now im sure.

[TheAhmedMAhmed]

thanks for the simple explanation ...

i wish all your videos were HD

[berkk1903]

OMG Calculus.i hate it :( :( thx for HD video

[idiotrun1997]

I showed my Calc teacher this video, and I got called down to his office today. Oh crap, I wonder if I'm in trouble....

[MrPraise88]

@idiotrun1997

so what happen frenz?

[Lottechoco]

shitty calculus teachers ruin lives. You are awesome

[popshuvitskater]

this makes sense now!!! i know how God created the universe!!!

[jrcr1993]

Oh my god, you taught in 15 min what my math teacher taught me in a week. You're so helpful..Thanks to you i can understand derivatives once for all. thanks!

[DrFuzzyBaIlz]

thank you for going in detail and not skipping steps liek my profs.

I had forgtten how slope worked exactly i needed the detail!

thank you!!!!!!!!!

[007MrYang]

I would love it if your webpage had practice exercises for chemistry and physics.

[Ruwenzori100]

This video helped me to understand derivatives. Thanks for breaking it down and making it so simple.

[Imran500]

This video is very helpful. My Calculus professor in college is fucking horrible.

[Alive4Metal]

@Imran500 omg tell me about it, so is my university professor, and he's an egomaniac too so you cant ask him shit without he making a fool out of you.

[cml4456]

Does anyone else get a little annoyed by the way he repeats words as he writes them? Oh well, he does better than my math prof.

[MrVargasesteban]

5:10 to forward to real calculus

im not saying its a bad video, actually, it is awome, but we know how to find the slope of a freaking line since 8th grade.

[ParkwayStudios]

@MrVargasesteban You need to shut up and just watch the video. Sal is doing the right job constantly reminding us of the concepts which will be used.

[Mu5ik4Life]

The 4 dislikes are shitty cal teachers :P

[ritaggn]

Brilliant.  Well done.

[KongXJ168]

no offence but how can u not get it?

[Darkrunner1975]

@KongXJ168

Bad tenured teachers that don't give a fuck? That was the case for me.

[KongXJ168]

@Darkrunner1975 safe

[bookerirene]

A calculus class by Dr. Lawrence Kutner !!

[BennyDACHO]

My only regret is that I didn't stumble upon this sooner... Thank you Sal

[SherKhan0122]

I GUESS YOU REALLY KHAN LEARN CALCULUS USING THE KHANTENT OF THIS VIDEO!!!

[DENlERU]

@SherKhan0122 Err... Right.... :S

[Npowell01]

For those of you still having trouble, try turning on the subtitles. Sounds weird, especially if you already speak English, but what I find is that I learn better when words are popping up in front of my face as visual objects. Being an introverted reader might contribute to this fact, but hey: Different strokes for different folks. Two of the greatest benefits of learning on the internet for free is that you don't get pigeonholed into a schedule and you can do it however the fuck you want!

[johng904]

That is by far one of the best explanations on the derivative found on YouTube!

By the way, have you heard of the new type of (discrete) derivativative from 2010? You should try and search it on YouTube: "Eureka! a new approach to calculus". This video depicts a simple kind of derivative.

[SharxKL]

Thank You!!!! Helped a lot!

[afonsords]

YOU R SO GOOD AT EXPLAINING

[mightburnyourself]

this freaking blows

[DaGreat81]

good video, my math teacher for the summer is terrible at explaining shit

[paulceltics]

yes thanks a lot man

[Homiloko2]

I wish i had known about this before the test.

[fiyeros]

oh my goodness, thank you so much! my prof and textbook NEVER seem to explain minor details which always confuse me. so helpful when you refer back to the basics because it clears things up a little. thank you :)

[timidemerald]

niceee, I see your tablet has touch sensitivity now! (sorry, I'm a nerd, just had to point that out xD; ) This video is amazing though. THANK YOU -bow-

[artashes999]

Khan Academy AND Math tutor DVD are fucking amazing, i think everyone should try both of them out.

[anshal00]

I do not know how to thank you enough for this. I have learn calculus from watching your videos, my professor is a big d-bag who only does examples out of the text book, and skips some steps along the way. Here i can understand everything as we move ahead.

Thank you So much.

[DehXable]

This doesn't look like a... "No Derivative Works" video to me. YEAHHHHHH

[amandalau902]

 good

[chaseindie]

please forever be this awesome

[jacksparowv]

You make math look beautiful :D

[swapniltech]

My very basic question : How do you define "The slope"? Anyway, Khan Academy is the best!

[gumpgirl1]

three words... now i understand.

[pieyouel]

before watching his vids. I feel like the most sucking student in math in our class. After watching his vids, i feel like i'm the most intelligent. ^^

Man, you are soo00oo AMAZING!

[trm3100]

To the 8 year old with the IQ of "221": I can believe that you're 8. (Or a troll). I can't believe that your IQ is that high. Einstein's IQ was like 170. I don't even think the scale goes up that high. Here's a tip: no one likes pretentious people. If you really are a genius, it will be obvious. Just saying that you're a genius is very likely to make you look stupid.

[nightmare4eVerr1]

@trm3100 hes a troll, his channel shows that hes 18 years old and he does pole vaulting!, LOLOL!

[SummerPig3]

14:03 Lol, "Let me switch to green.." he picks yellow.

[KoreaXFan]

O_O amazed. He's using the crtl + z command key now!

[kingjames2322]

what program do you use?

[kjelle90]

@kingjames2322 He uses Camtasia Studio 7 to record the screen. He uses Smoothdraw 3 to do the drawings and he uses a wacom bamboo tablet to make the drawings a lot more easier, well compared to using a mouse. In case you want to make videos using these tools, then I think thats great. In case you want a great converter as well, then let me recommend Handbrake. Oh and he's probably using a headset or a mic for the recording the audio.

Peace xD

[Hightemplarl]

man.. these little kids learning calculus makes me feel dumb

[Hightemplarl]

man... these little kids learning calculus makes me feel stupid. or they're just being cocky suckers. or both.

[polevaultskills]

I'm only 8 years old and this is sooo easy! I haven't even learned order of operations and basic algebra. good thing my IQ is 221!! Thanks Khan!

[TheLiberalSoup]

@polevaultskills

its easy for everyone, because he explains it so well. Dont leave pretentious comments like that.

[stanandjoe0]

I'm a 7th grader and calculus is easy as is all school for me (IQ is 127) and I love math and a real challenge is Statistics, Probablity, and Mathematical Theory.

[TheLiberalSoup]

@stanandjoe0

why did you leave such a pretentious comment?

[annumss]

ur amazing, thnk u sooo much!

[VFB1210]

Great video! Altough when you started calling x0 "X naught" you confused me for a second by making me think you meant "X not"! I spent about three minutes trying to figure out where we started using Boolean Algebra!

[AhmedThaking]

Great video ;) very nice :D

[tezromania]

semester at a major university just replaced by 15 minutes of youtube.

[pageerror404]

Me: Excuse me, I'm having trouble understanding exactly what a derivative is.

Math Teacher: It's f(x+h) - f(x) / h

Me: *sigh*

Seriously I spent a while semester pretending to know what a derivative meant and now I learned it in 15 minutes lol.

[AhmedThaking]

@pageerror404

You don't actually need that :D

there are some rules to find f'(x)..

Like f(x)=x^3+x^6+3x-250

f'(x)= 3x^2+6x^5+3

[pwnions08]

I miss you complaining about your tools lol it looks like u upgraded

[cxrodformrx]

LOVE THE HD VIDEOS. Thank you so much for taking the time to redo them and make them even better.

[cxrodformrx]

i LOVE THE NEW HD VIDEOS. NICER AND SIMPLER. the other were kinda blurry in some parts.

[1992terps]

what does Xnaught mean?

[DeeJayOros]

@1992terps Xnaught is your first X value. The sub 0 just specifies this just to reduce some confusion is all : ) dont let it trip you up!

[crusifixa]

good! , My father is a Mathematician, I ask him to help me with this with no succes... and I remembered the Khan academy !! now I get it!

[ianmotley1992]

This is brilliant. This is why I love youtube!

[guyman20]

i can't explain how amazing this is

thank u so much sal!

[Loriixoxo]

the HD videos are much better and easier to follow than some of the old videos, because the lines used to write are crisper, rather than all sketchy. I'm so glad you're taking the time to re-do some of the videos in HD quality. Did you just get a new program to make your videos with? Before, your pointer looked like a regular arrow mouse icon, and now its a crosshair... also, I think you were using a mouse before to do your videos, and now it looks like you're using a tablet. Just curious.

[bmc92]

the colours are beautiful

[mariandreina89]

awesome !!! for reals!!

[2048scotty]

wow, this makes insanely good sense! Where were you when I was barely passing Algebra in HS?

[XenomorphLV426]

excellent work sir.

[MrZia324]

Great work khan . keep it up.

[thatkoreandude]

HDDDDDDDDDDDDDD

[OziOktawian]

Mr Khan please tell me what kind of software and hardware you are using to make those HD videos? Thanks in advance! PS. Your videos are very, very, VERY helpful!

[bomberfun1]

good job Mr Khan!

[MarvelsofaLifetime]

This video is the best explanation of the Derivative, anywhere.

[ossanamama92]

i feel bad when i watch your videos, i feel like i should be paying lol

[nactan]

@ossanamama92 well, you could make a donation at his website, (google "khan academy") but you don't have to if you can't afford it.

[Boscotrips]

DDDDDUUUUUUDDDDDEEEEEE.

Geometry student here, don't mind me, just a few years ahead of myself.

Thanks Khan your the man, congrats on the google award!

[killerboi199]

Holy F this all freaking makes sense now

[NicholeRocksHerSocks]

I ACTUALLY get it now.

[Karmakameleeon]

Mr. Khan, you are my hero

[1073601]

this sure is a lot easier than the previous lesson

[miinyoo]

Perhaps someone can confirm this other way of defining a derivative for me.

Deravitive = a function based on a changing property of the original function in question. (which in this example: f'(x) is the curve created when you plot the tangent slope of f(x) over an arbitrary domain of f(x))

But really the math can by applied to practically any constantly changing property of any function to get a function of that change? (still need to get through the rest)

[charcoalfilter1101]

HD rocks!!!

[hedonism13]

I swear to God, 13:15, it just suddenly clicked. Like in the old movies where the lightbulb goes on over your head.

Thank you, thank you, THANK YOU, I FINALLY get Calculus.

You are awesome, my only regret is I have only one thumbs up to give.

[eunicellular10]

@hedonism13 HAHAH ME TOO!! At around the 13:00 area!! :D

[bittukhanacademy]

u r gr888888

[Geek4Lif1]

Thank god for Khanacademy. My teacher was terrible at explaining derivatives today. Everyone looked like Homer Simpson after she got done teaching us.

[apebyen]

hahahaha. How you doing?

[Andyyyy931]

My brain hurts.

[KronicKillaz]

@Andyyyy931 If it hurts already then dont waste time at college lol

[diceman31]

why is it that every youtube instructer explains it 10 times better than any professor I ever had?

[creyzieprincess]

@diceman31 So true.

[goodacademics]

Suggestion: your may want to use other alphabet instead of "b" for the second x-value because it may create confusion with the "b" in the f(x) = mx + b, where that "b" is the y-intercept.

Good work!

[12gdba]

awsum

[tony0964]

Great. it's better than the standard-def version.

Just a tip, turn off the noise suppression and/or cancellation on your audio software (your voice will be better quality)

[FuchsFlorian]

great video, thanks :D

[1234anima]

deriaive are complicated!

[MusicHypno]

Can someone explain to me what the function y = f(x) means? I've never come across it before.

[ClassicsOfMath]

If you want to see Isaac Newton's seething passion, watch "The Invention of Calculus"

[idster7]

@ClassicsOfMath is that a tv show?  where does one see it?

[maria49236]

great video!

[PezoCon]

college is for people who dont know how to make money on their own. and for kids to burnout for 4-6 years of their life while lying to themselves telling thy self they are in college to better their life.. u know most u fags are there to party and get herpes

[Charlietheleet]

sorry if i need help making money. not as good as you

[PezoCon]

sorry for being mean

[muradpervez]

@PezoCon lol i can just tell that you are the type of person that would never be able to go to college and do well. LOL btw let me know how it feel to make 30 thousand dollars less than I do in a year. Have fun mr. Minimum wage or should i say MINIMUM BRAIN HAHA and oh no apology for me being mean.

[PezoCon]

lol really? haha.. ahhh.. some things are better left unsaid... keep dreaming pal

[PezoCon]

@muradpervez... you made yourself sound so stupid with this one.. just so you know.. ::weak:: .. so whens the dropout date?

[jagratrox]

Simply Amazing!

I never panic in my class if I didn't understand something.

I know I can just stream it at home ;)

[katanphetamine]

fantastic. My professor took over an hour to explain this, and just when I thought I had more or less got it I watch this video and now it's to the T. It's a lot easier to remember rules when you know how they were obtained.

[trevjsmith23]

what program/hardware do you use to make this video??

[Liliprincess07]

Thank you so much, I swear your like my second teacher. Whenever I don't understand a concept in class, I just watch your videos.

[siriuslyD]

@Liliprincess07 same here haha

[iMNice99163]

Yes i watched these to. Go Cougs!

[PezoCon]

cougs are douchebags. go huskies

[muradpervez]

@PezoCon The drop out date is when I drop my balls in your girls mouth, when you're out mowing peoples lawn so you don't get evicted. =) btw tell ur girl i said hi and ill be over early :) thankyou

[PezoCon]

@muradpervez... lol good one! douchebag!

[saik0cieL]

thx 4 explaining

help me so much! ^^

[tutuy4]

Does Anyone know what the Prerequisites are for AP Calculus?

[infinitylol315]

pre-calc

[Thisrealni66]

nice

[mmiv37]

Thank you for this.

[BearsFan054]

wow HD is awesome!!!!! Thanks Sal!

[gbugari]

THank you for your time to explain al this. Awesome!. I have learnedmore on an Hr that the all semester.

[nriab23]

You have the ability to explain more in 10 words than what some people can't explain in 1000

[TajikThunderstorm]

pure class, sheer skill.

[DwayMac]

love the HD! i see you dont use Paint anymore.. awesome =)

[UberCuba]

@DwayMac i think he still does.

[banditdk]

Khan ur a great teacher...

[deugle]

I really enjoy your videos but would appreciate if you wrote a bit larger when using this new HD format.

[hidro7hypnotiq7]

wow wow plz make more hd videos plz plz plz

[Rook1515]

mmm, HD, that's tasty ;)

[DeepeeMe]

HD is awesome on your videos ;D Now the lines aren't scrathy and 'pixelled' now they're smooth and is blured - really good ;D