Chain Rule For Finding Derivatives
ฝัง
- เผยแพร่เมื่อ 10 พ.ค. 2017
- This calculus video tutorial explains how to find derivatives using the chain rule. This lesson contains plenty of practice problems including examples of chain rule problems with trig functions, square root & radicals, fractions, ln, product rule, and quotient rule. This video gives you a simple way to find the derivative of a function using the chain rule.
Full-Length Math & Science Videos:
/ collections
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Derivatives - Fast Review:
• Calculus 1 - Derivatives
Equation of the Tangent Line:
• How To Find The Equati...
Simplifying Derivatives:
• Simplifying Derivatives
Derivatives - The Product Rule - f*g:
• Product Rule For Deriv...
Derivatives - Triple Product Rule - f*g*h:
• Product Rule With 3 Fu...
Derivatives - Quadruple Product Rule - f*g*h*k:
• Product Rule With 4 Fu...
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Derivatives - The Quotient Rule:
• Quotient Rule For Deri...
Derivatives - The Chain Rule:
• Chain Rule For Finding...
Chain Rule With Trig Functions:
• How To Find The Deriva...
Chain Rule - Harder Examples:
• Calculus - Chain Rule ...
Chain Rule - Triple SQRT(x):
• Find The Derivative Us...
_________________________________
Derivatives - Composite Functions:
• Derivatives of Composi...
Implicit Differentiation:
• Implicit Differentiation
Derivatives - Inverse Trig Functions:
• Derivatives of Inverse...
Derivatives - Exponential Functions:
• Derivatives of Exponen...
Derivatives - Logarithmic Functions:
• Derivative of Logarith...
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Final Exams and Video Playlists:
www.video-tutor.net/
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Hi everyone, at 15:58, g' should be 5 and not 4. The derivative of 4 + 5x is 5 and not 4.
fortunately you noticed it.
would the answer be 92(2x-3)^3/(4+5x)^5
The Organic Chemistry Tutor knew it haha
Isabel Hunter I got the same answer as well
Isabel Hunter Yes but I got the answer as -92 not positive 92. Check it please.
16:00 that 4 should be a 5. This guy is so good at teaching that now you can even catch the mistakes.
Yeah, check the top comment, though. Three years ago he pinned the top comment to correct the mistake.
Ukr i kept on solving and solving till i finallt figured out the mistake
I was about to say that!
I felt proud of myself when I spotted it :P
I wouldn't have spotted the mistake if I didn't understand this stuff so it's a nice feeling
Me as a complete 0 in maths seeing this got super confused and I was pretty sure I am not mistaken
thx for helping me fail less in calculus
how do ya managee to fail 'less' in calculas :)
@@annantporwal4970 lmao for example rather he gets F He got F+. jk idk
Man that's the dream of every calculus student to fail less in calculus 😭
I am going to pass calculus 😂😂I don't want to fail
Yo this is retarted math
SUCH. A LIFE. SAVER. You make calculus so easy to understand in one video when my prof can't teach me anything in a month.
@@HiHi-ur3on *room full of people
@@HiHi-ur3on No problem😊
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I agree bro. I have a test tomorrow and I am studying as much as I can. I came to the comments to check if he had mentioned the error and he did. He is a literal goat, thanks so much!
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masikhonzane ntipha
Ikr, it comes up on almost every math video.
Right? I feel personally attacked every time that pops up. Although I just say "yes... yes it is...*pressing the skip button intensifies*"
So according to their logic, we should completely disregard any math that's more than 15 years old. Guess that means all calculus, algebra, geometry and well, just about everything else in math is completely useless. And here I thought Newton's Principia Or Euclid's Elements were groundbreaking. But no, they're OLD so they're not relevant anymore. I'm sure whatever these guys come up with is better because it's NEW. Yup, just the sort of people I want to be teaching me.
lol I've been getting a new one that says the same thing about American math videos. The jist of it is that I can't find Canadian math videos and the American ones are useless for Canadians, cuz I guess American math is different somehow? I dunno. It's stupid as hell. These idiots should be banned from advertising on educational videos. The very people who fall for this crap are the ones who need a real education most of all.
And 6 months later its still there lol
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I don't know when professors will understand that THIS is type of the teaching we need. I don't care about the origin of the equation, who thought of it, when they thought of it, blah blah blah. Just teach me what I need to know to pass your class. Literally paying $1,000 for a course and I learned a huge chunk of it in 18:39. smh. You're a life-saver dude.
They swear they did something when they showed the "proof" like anyone gives af
He's the best👩🏫
Thank you so much, your video's they bringing light.. 👩🎓You make everything easy to understand 🙏
@@michaeldavid254 proofs are actually kinda useful......
The problem is that most teachers don't even do that. Like i think the best way to go about a course is to help us vizualize how and when and why we use these in the real world. That way they feel more practical and useful. Then they can tell us like ok this is a matrix, usually it is used to show this and that in real life and first class can be fun and examples only. Then he/she can say ok so we know what it is lets learn how to find it. Then the explantion can proceed like with this guy. When they don't tell us why we learn certain things we tend to forget them because we don't build a network of information in our brain. THATS WHY SCHOOL SUCKS.
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Whats crazy is once you get it.. u feel like a million dollars.
true
I need that.... how long does it take?
@@dominictumulty1531 18 minutes 39 seconds
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achhe eff so you’d trust a surgeon who didn’t go to college?
@@dfox499 I should've specified for anything outside of the STEM fields
When you finally understand chain rules after your teacher complicated things is one of the best feelings (:
I can tell :’)
I can't beleive how easy it is
Ikr ... My teacher taught this in almost 8-9 steps and i was so confused and ended up losing a lot of marks in my exam.... This'll help for my upcoming exam
yhooooooo
meee. My teacher spent 1 lesson on it and expected us to be masters
You are the best at making complicated things simple, thank you!
this is amazing! I had a 40+ minute lecture on chain rule and it felt like he was speeding through it without me understanding any of it, but this was even shorter and i fully understand!
Same! My professor would just keep rambling and not stop to explain like in the video. This guy is a huge life saver that I had to teach some of my friends my own way by crediting the video and we understood it better.
never thought i would find a very simple tutorial on youtube.. all others just explained it like we're already understood about those things..
thank you so much
The Organic Chemistry Tutor should change to a broader name. You safe lives of students, lectures and every concerned party. When I fail to get it from a lecture I know you will clarify it and when a lecturer fails to clarify you are always there to help him or her. When I am hopeless you bring me back to life. Your soothing voice is a powerful mind massaging tool and it makes me relax and sometimes fall asleep. Thank you for every thing in life and may God bless and give you more days and strength to continue with your calling.
Thank you, thank you thank you!!!!!!! No one I have found has simplified the concept to the most basic level as well as you have. I am truly grateful to have found you. I was struggling pretty hard, because the way others had explained without drawing the process. Great video, you are amazing!
All thanks to the organic chemistry tutor I always run to this channel whenever I got maths problems
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Thank you so much 💕
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You explained and demonstrated this better in less than 20 minutes than my professors did in an hour and a half of lecturing
After watching so many of your videos, you're basically my math, physics, and chemistry lecturer in 1 now.
After a decade of looking at tutorials, this guy is, by far, the best. Hands down the best.
Thanks so so so so so much. I have an exam in two days and have been going to all my lectures, tutoring twice a week and still not getting it. Everyone just goes so fast and never slows down. It's so nice the pace you go, I finally understand what I am doing.
Complex folding Trig function : 9:04
Quotient rule: 15:04
Simple trig function: 4:09
Thank you so much for posting these, your videos alone have gotten me through pre-calculus and calculus these last two semesters!
I can not put into words how much your videos have helped me out. Thank you so much for doing these review videos.
The approach where you learn on practice is way better than listen 2 hours lectures
Tbh , one should always read their textbook theory and then try simple practice problems in their textbook. Watching lecture after doing this is more beneficial. It becomes easier to grasp the concept when you force your mind
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I just got out of my calculus class confused and unsure of this rule, now I feel like this guy should be my professor.
Exam tomorrow and I am binging your derivative videos. YES TH-cam, the videos from 2017 are still helping. Thank you for posting these free videos they've been helping me and my struggling classmates.
"The videos from 2017 are still helping"
My teacher taught us this in one week, i learnt it in 18 mins from you
I’ve got a calc test and a chem test on Monday. This channel is the only thing keeping me alive atm
His youtube account is worth more than a university
I've been looking a while for more complex problems for the chain rule and the examples at the end helped me out a lot. Thanks mate!
I used this video as a series of great practice problems for an existing exam. They were extremely helpful to check my answers. Thank you!
Belive me man .. i have my final exam on Tuesday (17-9-2019) and i had prepared nothing but after watching your videos my calculus skills are greatly improved...thank you man... ❤️❤️
Next response would be after my exam... Everybody wish me luck❤️
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Good luck bro
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He's a great teacher
Despite of that g'=4 at 16' error (He should edit or clarify that); he explains from grounds up which makes it easier to digest.
Excellent job!👍
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i hope one day i can return the favor , thank you so much
I think you already are by watching his videos and paying him
Bro you don't even know how thankful I am to you. I'm a sophomore and this is my teacher's first year teaching calc, and she rushes things. She is also giving us this stuff that we "learned" yesterday on the unit test tomorrow. I had no clue how to do this and thanks to you I understand it now. Ill try and ace the test tomorrow :)
Well the tests done and u r no longer a sophomore...but how did the test go...?
Dude. You rock. This is awesome. I've never seen it explained so simple.
for every single topic, i find myself here. I can't thank him enough for making calculus simple.
You just gave examples for literally every model. Thanks a lot
11:22 .what did you get as your answer for the last question
Excellent! sooo many examples that enable one to thoroughly grasp chain rules. 15:36 - A minor error: g' = 5, not 4.
Dude you are for real the best, even 5 years later, thank you.
I have to say thanks to you. it's so clear and a lot of different types of practice questions are given. This really helps a lot. I do really appreciate it.
I cannot describe how much I love this man
I think some people learn better when they're taught the easy way first. The textbook our professor uses dives into complex examples immediately after learning the chain rule, combining both chain and product/quotient rules. This is very tough if you're new to the idea of derivatives. Very thankful for this video, thank you TOCT.
Get more on chain rule from this link:
th-cam.com/video/OJSJjXEkdSM/w-d-xo.html
Thank you, your videos have been very helpful. Concepts are explained in a make-sense fashion that takes the length of the video instead of a span of a week or more with missing information. The main problem a lot of students have with math subjects are steps that are missing that do not explain arrival to the answer.
I know you get a ton of thank you comments, but seriously, thank you so much. I was starting to believe I was just stupid. But you made this so easy
I honestly owe you my tuition for this class
I'm having nightmares, all i can hear is "find the derivative of ...", only joking, your vids are actually really helpful, I appreciate it :)
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I like the way you do it better than the substitution method I was taught. This makes it much easier to keep track of what goes where.
you deserve all the best in this world
I bombed the quiz and hw last week with my prof's method, popped this on, now I understand this unit. my prof literally writes an equation doesn't help and acts like douche in front of the class. I pay tuition for him to say I'm tired and you tell me, but I literally skipped his class came to library and now I fully understand the concept
just came to say how much I appreciate you. Obviously this is a job for you, but the work you've done is so helpful you simply don't know just how much of a help you are. Your content is clear, concise and so easy to follow. Thankyou, you're saving my math grades.
Who knew it could be this simple? They making it hard to understand at my school for no reason. Legend.
This guy restored my engineering dreams. I crushed my Physics exams because of his decent videos.
thank you for including so many examples. this was really helpful
If you want more practice on examples, I just uploaded a new video where I go through more examples step-by-step. It might help for some more practice :)
5 years later and I'm here to say you're actually saving my life right now.
You are so much better than any math teacher I have ever had THANK YOU!!!!
this is such a lifesaver oh my god i'm failing and have a test tomorrow and i'm freaking out and this is so calming and helpful ty so much i wanna hug the whole video
I got a test in 4 days. 3 days to study. Lord help me it's worth 20% of my grade >_
@@andynonymous6769 good luck
you sir, are amazing. you were able to teach me chain rule in 18 minutes when countless hours of lecture got nothing through to me. you may be the reason i pass my exam
same here man
I have no idea how you do it. My teacher shows me the chain rule and I have trouble with the very first problem on the homework. I watch only two minutes of your video and then I complete it with 24/25 points. You're absolute magic.
You are awesome. I could not understand this last week. I’m ready for my midterm! Thanks so much!!!! The chain rule was the only issue I had!!!!
I can't thank you enough bro!
I was crying like an hour ago. This helped so so so much my gosh. Thank you.
Love it dear
@Tagar ur so silly and goofy ahh
@Tagar I’ll take the advice thanks 🙏 have a blessed day
thank you i have been struggling with this, your videos are way better than my lecture sessions
You are way more better than my instructor. Thankyou very much.
00:05 The chain rule helps find the derivative of composite functions.
02:08 Finding derivatives of functions
04:32 Derivative of secant 4x is secant tangent, Derivative of ln x^7 is 7 ln x^6 / x, Derivative of √(x^3 - 7) is (3x^2) / (2√(x^3 - 7))
06:53 The chain rule is used to find the derivative of expressions with composite functions.
09:15 The derivative of (550.96 555.76 x cubed) all raised to the fifth power is 15.
11:26 The derivative of secant x squared tangent x squared is -14x.
13:39 Simplify the expression with variables and exponents.
15:04 Quotient rule
16:03 Simplify the given expressio
nice approach
I didn't know chain rule is that simple
I always had issues with the chain rule but you've made me learn it so well and now I'm no longer afraid of it
Thanks a lot❤
your videos show the power of how practicing many examples really improves understanding
My teacher literally spent an hour and a half explaining this in class and I did not understand it at all. Now after watching two minutes of this video I feel like it is easy!! Thank you!!!!!!!!!!!
I’m still failing calc but this video helped me a lot. Thanks man.
If you ever need additional help on any topic throughout calculus feel free to drop by my channel! I have some calculus tutorials as well, and am always open to answering any questions you may have in the comments! :)
Its crazy watching your videos. Currently studying for my engineering license and need to watch these videos to remember basic calc properties. I remember watching your videos 7 years ago at the junior college. Its such a trip to still watch your videos many years later. I remember struggling so bad on this stuff and after just completing reinforced concrete design. I realize that it wasn't so bad. I guess what I'm trying to say is that as the years go on, your going to realize that this stuff wasn't so bad and you'll just honestly laugh at yourself lol. This is the reason why many people don't go to college because with each new semester, comes new emotions, new struggles and most importantly a new version of you. And "new" can be terrifying.
Each semester we all have ever taken continues to add more value to your life and increase your critical thinking skills. You may or may not use calculus for your career but the critical thinking skills will reveal itself when you need it the most. Don't give up on your educational journey. Your future self is waiting for you on the other side.
- The engineer turned PreMed
Thank you so much for this! Im starting school again to finish my chemistry degree and there is so much calculus involved this was a great refresher :)
Salamat po sa inyong turo.
At
Shout out po sa mga kaklase kong pupunta sa video na to.
-nite
Honestly, you deserve my tuition more than my university. Hands down.
Hi its junior from South Africa, your channel has been helping me a lot here in university, your lessons come in handy for my calculus
I have been following the whole series of the differentiation rules for derivatives n all l can say is ,,WOW,,,
Lyk on this pandemic u are an angelic light sent from heaven....your video tutorials are priceless .l pray tt the amazing lord blesses you....Thank you
i legit learned more in the first 2 minutes of the vid than i did from my teacher
I think he made a mistake at 15:34
He said the derivative of g prime was 4 but it’s actually 5 right.
Not trying to be that guy jw if I missed something.
ya ur right
Yeah maan
Yeah your right
Check his pinned
yes
Thank you so much for showing us different types of problems. So helpful.
you actually explain the content, properly and make it make sense
He deserved an Oscar for saving lives of lakhs of students all over the world !
Why would he get an Oscar . Oscar is an award for actors . At least think twice before you write someone
Now I want to graduate and be rich and donate 💸 to this channel. A lot of thanks to you. Hold on there, Prof.
Thank you so much, you did a better job at explaining this than anybody else on the internet. Good job!
Get more on chain rule from this link:
th-cam.com/video/OJSJjXEkdSM/w-d-xo.html
Thank you for working out the steps. This is definitely very helpful.
Got a calc quiz in 7 minutes sheesh
God bless you sir.
u r best channel i've ever got on maths and science..
Team Organic Chemistry...Your solutions are very self explanation. I am really enjoying your baby-step-tutorials . Thanks for the good work!!!
watched at 2x speed ⬇
GOAT 🐐
Why is g prime 4 and not 5?
4 was a constant. It should have been from 5x
he made a mistake in that part....u r right,,,
He has it pinned.
I am so thankful for this. My professor rushes the chapters in our book so I am left with inadequate time to capture everything and understand it, but this helps a lot.
This is helping me alot for my calculus classes, i dont have any quizzes or exams in particular as of late but I'm worried about staying behind so thank you for this