Definition of the Derivative

Рет қаралды 2,219,062

6 жыл бұрын

This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice problems.
Full-Length Math & Science Videos:
/ collections
___________________________________
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Limit Definition of the Derivative:
• Definition of the Deri...
Derivatives - Alternate Limit Definition:
• Alternate Form of The ...
Derivatives - The Constant Rule:
• The Constant Rule For ...
Derivatives - The Power Rule:
• The Power Rule For Der...
_________________________________
Derivatives - Constant Multiple Rule:
• The Constant Multiple ...
Derivatives - Polynomial Functions:
• Derivatives of Polynom...
Derivatives - Sine and Cosine:
• Derivative of Sine and...
Derivatives - Trigonometric Functions:
• Derivatives of Trigono...
Derivatives - Limits:
• Limits and Derivatives
_______________________________________
Equation of the Tangent Line:
• How To Find The Equati...
Derivatives - Horizontal Tangent Line:
• How to Find The Point ...
The Equation of The Normal Line:
• How To Find The Equati...
The Equation of The Secant Line:
• How To Find The Equati...
Average and Instantaneous Velocity:
• Average Velocity and I...
_______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/

Пікірлер: 601

@TheOrganicChemistryTutor Жыл бұрын

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzfaq.info/get/bejne/md-eaaZ106fQk3U.html

@vivianquitoyan2653 Жыл бұрын

Loop

@lulitzulyha 8 ай бұрын

Ooh

@tambahsaah8005 3 жыл бұрын

I have dropped Calculas three times in three semester because after struggling to pass the 40 mark out 100 in all the tests, it was obvious Math was not my thing. This guy has saved my life. I got 48 out of 100 in my first exam for this fall and I considered dropping again until I found this guy. Second exam I got 84 for the first time in my existence on earth in math.🤣 Now I’m like a boss in class answering all the questions 🤣😂

@silvercat7392 3 жыл бұрын

I'm so happy for you!! That's what I'm hoping happens to me too, haha, I've been getting less than 40% on my first two Calc tests so far, and right now I'm studying for the third test!

@drenibrahimi1300 3 жыл бұрын

That's awesome! Mind sharing tips on how you improved besides watching these videos?

@starboii568 3 жыл бұрын

@@silvercat7392 bro same got less than 30 in my first test and i already know i failed the test i wrote last week, i need a 70% in my final test and another 70% for the supplementary test.

@DirtBikes_MathGarden 3 жыл бұрын

@@drenibrahimi1300 do ya homework, understand trig and be able to build a unit circle, and develop a fundamental, abstract understanding of what the calculations you’re doing actually MEAN in terms of the function you’re working with.

@abuumohameddara9928 3 жыл бұрын

Wow great bro

@user-gi8lt3tc8n 4 жыл бұрын

Thank you sir .. The only teacher on the earth who is a Mathematician but can't count his students

@zephloe 4 жыл бұрын

Its just his number of total views lol

@kennu3988 4 жыл бұрын

@@zephloe but 1 viewer can view multiple videos so he actually can't count his actual number of students lol

@zephloe 4 жыл бұрын

@@kennu3988 total views per video.

@kennu3988 4 жыл бұрын

@@zephloe yea but each vid has different views so he can only estimate really

@usctrojanfreak 3 жыл бұрын

@@kennu3988 estimate to find the average ;) there's always a way

@Bnelen 4 жыл бұрын

I used to think people were joking when they said they learn more from here than school. Now in Uni I can absolutely confirm. I rely heavily on these tutorials - doesn't help that my school provides nothing but problems to solve.

@green_razor8569 4 жыл бұрын

Bnelen 95% of what I learn is school is either 1. Irrelevant info I’ll never use (Tedtalk vids, useless history facts etc.) and 2. Stuff I already learned using my textbook or by watching youtube vids. I honestly don’t know why I even bother going smh my head

@adammouaddine8866 4 жыл бұрын

this way is much harder if you wwant i can give you a much easier wayyyy

@lightrail2900 4 жыл бұрын

futur wolf Chain rule?

@adammouaddine8866 4 жыл бұрын

@@lightrail2900 I don't know it in English but it's like a board of rules

@lem09able 4 жыл бұрын

I'm half a semester away from graduating engineering and can say that I've given up on learning in school. I go there to know what I need to learn and then go to youtube, read some books, and do self studying about the material mentioned in the school. They're only good at telling you the syllabus(chronological order of what to study) and giving you some problems to solve. At the end of the day, you'd really be the one putting all the work.

@davidlzda 3 жыл бұрын

I swear down, this guy's voice is literally so soothing.

@muhammedlawal8993 3 жыл бұрын

You my friend are a true Nigerian 😂

@princeemma-ejikeme2622 3 жыл бұрын

Ah swear

@happylad7549 3 жыл бұрын

YOU ARE GAY MA BROTHER

@tobyliadi6113 3 жыл бұрын

Why do I feel like you are a nile student 😅

@kevinkator8630 3 жыл бұрын

@@muhammedlawal8993 😅😅 Once you see his comment, you suppose know sey na Naija guy 😂

@spritfun1542 4 жыл бұрын

From high school to university, his tutorials are always golden! Thanks!

@ayeayecaptain6249 3 жыл бұрын

Right.

@complementation7362 3 жыл бұрын

@@ayeayecaptain6249 I cant hear you!

@ethanescamilla7157 2 жыл бұрын

@@complementation7362 aye aye captain!

@isaiah5519 Жыл бұрын

@@ethanescamilla7157 ohhhhhhhhh

@user-pw3xb6cg8d 10 ай бұрын

Imagine being the sole reason for probably thousands of kids graduating college every single year. You are making a huge impact on this earth and we all really appreciate it

@SydneyHeinig 9 ай бұрын

TRUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

@Montanajj 5 ай бұрын

I’ve literally been learning all of applied calculus through this man. It’s at the point where I don’t even need to go to class because he just explain it better then my teacher does

@superbutter476 3 жыл бұрын

When a 20 minute video beats ur whole semester of school

@darudewott 3 жыл бұрын

Kinda of. I think this video is helpful because of our classes. If we didn’t go to class and watched this video we wouldn’t really understand it and how to apply it. I think that’s was the videos seem better than our courses. It’s because we did the course first

@grass5697 3 жыл бұрын

the p a i n

@brucefrancisyang8816 3 жыл бұрын

@@darudewott that's true ,the video like the supplement of the course what we studied in class,it helps us to understand that better.

@Montanajj 5 ай бұрын

@@brucefrancisyang8816I feel like that’s not true though. As long as you have a textbook you can apply this stuff. There’s no reason that a textbook and some KZfaq videos teach you better then your professors

@trunklemcjeans 3 ай бұрын

@@Montanajjuh..? A bad professor is a reason..

@myphone9698 3 жыл бұрын

I just want to hug this man and say thank you. He makes everything so easy to understand.

@Noogai 2 жыл бұрын

This 2 year old video of yours are still saving students like me from poor lecturers. Thank you, you magnificent being. I'll support you fully when I have a job someday and it'll be all thanks to you.

@viprflowrs 3 жыл бұрын

I wouldn’t be able to do the math in my engineering program if it wasn’t for this dude right here. Thank you for being my teacher the past couple of years!

@vungo4529 Жыл бұрын

yeah dude why does in school they cant be straight to the point like this?

@ichangedmynamealotoftimes 4 жыл бұрын

Been watching your videos since I was in 8th grade, now I'm in 11th grade and your videos heavily helped me get through general math, trigonometry, pre-calculus, calculus , and Chemistry! Thank you!

@lukky7615 Жыл бұрын

how you holding up now

@sanashandholder 3 жыл бұрын

nah but why am i attracted to his voice studying has made me fr delirious 😭

@kac432 3 жыл бұрын

Okay but your username LMAOOO💀

@mrstealyobihhnigga2932 3 жыл бұрын

yo,what?💀

@ayeshashehzad1798 3 жыл бұрын

LITERALLYYYY

@marienapalma2673 3 жыл бұрын

you’re not the only one

@whorifa6771 3 жыл бұрын

literally MEEEE i sometimes listen to audios and this reminds me so much of it

@miraculoushulumununum4020 4 жыл бұрын

It's not even my professors fault i'm flunking, but your videos really do a great deal of help in my studies. I'm really slow when it comes to these kinds of things, so my brain can't process the lessons whenever I attend class. Thanks a bunch! :)

@ranavantaepurple7856 4 жыл бұрын

Since I have been watching your videos I believed that my teachers cannot be teachers and the money that I give to them should be given to you because you are the one who simplize everything to me and made me understand very well so a huge thanks for your hard work you helped me so much❤️❤️

@aiyshasulaiman5755 5 жыл бұрын

Watched like 10 of your videos and they are so helpful! Thank you so much!

@bruv8668 Жыл бұрын

bro i went from literally failing out of math 4, not knowing how to factor, or literally nothing about the unit circle, to an 86 on my limit exam for calc in one summer thanks to you. Absolute fucking legend, I hope to do even better on this derivative exam to prove how good of a resource you are.

@numodumo6094 5 жыл бұрын

Oh my goodness. Thank you so much so much for solving this!! I was stuck on this for ages and asked my maths teacher multiple times but still don’t get it. 2 minutes in the video was all I needed to solve a month long of anxiety!! Thank u so much!

@l4dfreak101 3 жыл бұрын

Yo you are honestly the reason I am gonna pass calculus this semester. idk how you manage to teach this stuff so much better than my actual professors, but you do! Thank you!

@tadeuszkarcz4540 5 жыл бұрын

I must say This channel is one of the best , i recommend it to everyone

@reemmizari7780 3 жыл бұрын

somebody come pick my jaw up from the floor. This guy is my savior. FINALLY I GET IT! THANK YOU!!

@rickbryan8573 3 жыл бұрын

Thank you for making all those videos! ❤️ I really struggle at college rn with all those maths and the lect just won't tell us those small little things that matters! I hope you are blessed with health and wealth for helping people like us by spending your time! 🌟

@limitedpa Жыл бұрын

With all the videos you posted it gave me everything I needed to know to pass my Calc Dual Enrollment Placement test. I am eternally grateful love from va, US

@jefftube3580 10 ай бұрын

Okay I have to say it. You are the only reason why I am passing my Calc class right now. I truly appreciate you and i just want to take a moment to let you know that I am so honored to have you as a help guild. THANK YOU soo much. Please keep up the good work.

@jackwilson4324 5 жыл бұрын

I worked it out using the formula again, and did in fact get 2x+10, being the derivative of the trinomial/quadratic equation x^2+10x-8, also great videos, your brain holds a lot of knowledge.

@blessinginnocent9563 Жыл бұрын

Your contents are amazing. I've haven't been finding calculus easy, but with you I've been understanding better than even what I'm being taught by my teachers in college. Thank you so much God bless you ❤️🖤

@tabithalovie390 3 жыл бұрын

I am struggling through online AP freaking calc rn and this mans videos mean SO MUCH to me.

@statik8460 3 жыл бұрын

I was literally crying over how the actual f*** I get f(x+h) thank you so much, this teaches me way more than in school

@songschannel9059 2 жыл бұрын

I don't really get it still. Can anyone explain how from f(x) = 5x -4 we got f(x+h) = 5(x+h) -4 ? Shouldn't it be something like f(x+h) = 5x -4 + h ?

@avnqi 2 жыл бұрын

@@songschannel9059 Because 5x = 5(x) and we replace x with x+h

@cassied9327 4 жыл бұрын

My teacher explained this well, but it helps so much to have this a resource to watch and rewatch.

@Elkoshairiyous159 3 жыл бұрын

Bro you da goat. Calc professor can't explain much but this man really helps.

@zachrosedahl2813 2 жыл бұрын

you are my savior. I have a teacher with a very thick accent who is hard to understand. I have learned more from you in one afternoon than a whole month of her teachings.

@malkimchannel3976 Жыл бұрын

Just recently graduated, Thanks so much and continue helping students outside there

@shadrackokello8228 8 ай бұрын

An exceptional math tutor man. Saves me with the seemingly "complex" concepts which he eases 💪💪💪

@br0hamus Жыл бұрын

I must say, my Calc professor for this semester is a bore, and she doesn’t really explain anything. This video right here taught me way more about derivatives than she could in an entire class. Thanks man!

@juliusbaltazarayuno7451 5 жыл бұрын

I LOVE IT !! Easy explinations ! Godbless HOPE I CAN FINISH ELECTRICAL ENGINEERING ! Tomorrow is my first day college :D

@mikes1639 3 жыл бұрын

There's no way you're still in EE

@Charles-ot2yf 3 жыл бұрын

@@mikes1639 lmao, what a nice thing to say.

@taterazay8549 2 жыл бұрын

update us

@mani_mincraft 9 ай бұрын

Thank you, I was taught that once but I couldn’t really understand what he was saying because he went over it briefly. Now I understand! Amazing

@xximenangg Жыл бұрын

This guy teaches me more in 20 minutes than my math teacher can in a week.

@Hsiik 5 ай бұрын

You are literally the best teacher anyone could ASK FOR!!! You’ve helped me through my high school years🩷 and even when my senior year was tuff in HS you’ve helped me pass my math ap course. Now I’m a first year university student and still coming back to your channel and videos when I need help in calculus or chemistry. I really want to thank you from my heart cause you are the best!! You literally help me understand a whole 3 chapters in five min better than my professors can 😢 once again thank you so so so much for creating this beautiful and amazing channel you are an angel sent from god to help students who are struggling ❤️. Wish me luck guys I have a calculus quiz tomorrow 😢

@nitayweksler3051 3 жыл бұрын

Thanks! In high school i learnt many formulas of derivatives but never learnt the "classic method" until now :)

@lenso2010 4 жыл бұрын

Thank you . well explained and now starting to understand the bits

@jordanmuwanguzi1515 2 жыл бұрын

Best youtube tutor no doubt...which they create awards because usually he deserves them...lots of love 🙄🤞🏿

@b.r379 Жыл бұрын

Also thought of the same

@georgesadler7830 11 ай бұрын

Professor Organic Chemistry Tutor, thank you for explaining the Definition of the Derivative in Calculus. The examples increase my understanding of the material.

@shahadmerani3116 Жыл бұрын

Yo I've been struggling with this subject all year, I'm someone that understands things easily but I've used so many ways and I still never managed to understand what this subject was about and it really gets to me and bro you literally took 30 seconds THIRTY SECONDS to make me understand smth I've been struggling with for a year

@mryup6100 4 жыл бұрын

So nice! Love this guy... I subbed!

@TateIsaacs Ай бұрын

Literally so helpful, not sure how this is even possible

@murithimwenda8668 7 ай бұрын

Doing my calculus resit exam Year 2 now currently in year 4 in 2 days. After watching these tutorials and practising, I feel I'm ready🥱

@thepatienceofpandemoniump2624 Жыл бұрын

idk why but math's in your voice is actually kinda soothing and helps me get less angry at maths ya know

@josephacri3908 4 жыл бұрын

Your teaching style is excellent I hope your around a long long time

@hassanabdullahi5622 2 жыл бұрын

This guy is a genius.Simple explanations handling everything..You are great man.Keep going..Lets see you doing engineering drawing if you can

@tetengpinakamalake3261 4 жыл бұрын

Do u have defn of the derivative on trigonometry level?

@IbrahimMohamed-eq5dw 5 жыл бұрын

Like your videos they are straight and concise and to the point

@omarmaya1263 3 жыл бұрын

Plus dark mode for watching at night :D

@albertstiktoktrend3855 4 жыл бұрын

Bro thanks. On God you're making Calculus really easy for me

@ronn5577 2 жыл бұрын

The best teacher ever,thanks for being a very good teacher

@user-lt8yq7mc7z 4 жыл бұрын

thank you very much I am understand all lesson and able full mark on exam I am Palestinian 🖒

@tukkinum 4 жыл бұрын

🇵🇸🇵🇸🇵🇸

@MoHaMmADAlmo7taref 3 жыл бұрын

وين بتدرس باي جامعة

@MoHaMmADAlmo7taref 3 жыл бұрын

I did watch lot of videos here, even though we're non-English speakers but his lessons is really understandable!! I'm in the first year in university and I've got benefits through this lessons

@simonpeapo9521 3 жыл бұрын

Gifted and the king of mathematics, thank you sir l learn a lot from you

@filtech7388 2 жыл бұрын

ooh myself. This guy is a math genius. I like how he explain to make everything look easier unlike how we are taught in classes by marathon lectures 🤣😂.

@rafeh61924 3 жыл бұрын

Keep On Creating Amazing Videos! We will Always support You no matter what our Teachers Say.

@jeanneelessa8016 9 ай бұрын

2 videos only 2 and the chapter is in my head already 😭😭 thanks to you ❤️❤️

@animestudent8441 8 ай бұрын

thanks for the great video, examples and the content. 💪💪💪

@user-co9fn3cm7h 4 ай бұрын

I used to pass maths with distinctions back in my college days. However, I like the way you break it down hence I use your tricks to teach my students now that I'm a lecturer.

@side_135 10 ай бұрын

I will be forever grateful to this channel🤧

@hikari443 2 жыл бұрын

I been watching your other videos as my exam is this Saturday and I know how to do already hope I can pass this time round ☺️

@the_flaming_ryno5320 Жыл бұрын

Thank you so much was told by my lecturer that we wouldn't need to know this. So then they didn't teach us about solving it, then in an epic plot twist it has been included in my final assignments. you saved this mans bacon!

@ella7205 7 ай бұрын

Came here during high school now I'm back again for uni Best tutor ever😭❤️

@topman2542 3 жыл бұрын

"This is a very large problem, but you have to do it on a test "

@averagestudent5222 9 ай бұрын

Thank you for making everything simple

@user-cv6xv3iy7h 3 ай бұрын

i never thought id take calc 1 because im not good at math but here i am. im trying to do it and thank you so much for being literally such a great explainer 🙏🏼 this concept seems so easy but it was so hard to understand how things plug/substitute in

@jizzsaab1576 3 жыл бұрын

Thank you so much. Barely passed calc and that’s all thanks to u man!

@augustayartah2401 3 жыл бұрын

This is a outstanding explanation to know. Aw great video to see.

@FA_0202 2 жыл бұрын

Thank you sir !!! Very helpful and glad to learn from here😍

@fatimahussam6624 3 жыл бұрын

I can't believe I actual understood this 😭😭... can't thank you enough sir

@casthesweetheart 2 жыл бұрын

Thank you so much!! I’m struggling in calculus!!

@user-vp8ke8dr5t 4 жыл бұрын

I love alll your videos!!! Holy, they are so helpful

@spudhead169 4 жыл бұрын

What if we are trying to find the function? Like finding the function for a circle's area when all the input we have is the radius? Like everyone knows that's f(r) = pi·r² but assuming I don't know that and am trying to figure out what it is?

@Myheart19608 9 ай бұрын

His voice is so good and his teaching skill is top notch 🙌

@Juboury_20 3 жыл бұрын

حيو ابن خالتي والله ما تقصر

@makopolencio3695 4 жыл бұрын

This really helped me a lot!! Thank you :>

@osamahany4211 4 жыл бұрын

Could you help me Show that the function f(x)=√xpower3is continuous but not differentiable at x=0 Thank you

@everistobwalya551 3 жыл бұрын

You are the best lecture I have found

@subject427 Жыл бұрын

God bless you sir,,, you did alot of great work here that my light particles got shaken

@Chrisymcmb 3 жыл бұрын

Honestly man, thank you! You should definitely update your merch and drop some new fresh linens, I'd cop in a heartbeat.

@Melanie-sk7qh 3 жыл бұрын

i just wanna say thank u and me to still not giving up on math and im doing great now thanks to u : )

@anh-ofs9628 2 жыл бұрын

Thank you very much. Great content as always

@camillep102 Жыл бұрын

i was in shambles during my calc 1 lecture on this topic, but this video helped sm!! thank u for all u do frrrr

@chocoberry434 Жыл бұрын

This make me speechless...thank you so much for the explanation😭❤

@oflaygurz 2 жыл бұрын

who needs teachers when your channel exists?

@khushimachiwal6751 4 жыл бұрын

Sir thank you so much for such amazing explanation.....why don’t we have such teachers in our colleges...we are totally wasting our money there 🤐

@real_speech 6 ай бұрын

Best tutorial i ever seen 😮😮

@oluwatoyinosoba1632 2 жыл бұрын

With the example at 13:20 Is it wrong if you remove the root from the beginning to avoid confusion

@karrrtziy3044 4 жыл бұрын

Bro you save my life in calculus

@hijwomark8580 4 жыл бұрын

what a simply way is that , thank you sir .

@omarmokhtar1806 2 жыл бұрын

i know u wont see my commient but i swear that ur videos are just super easy and superhelpful and super reliable i really like ur way in teaching how calm u speak thx