Chain Rule For Finding Derivatives

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
___________________________________
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...
___________________________________
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...
___________________________________
Final Exams and Video Playlists:
www.video-tutor.net/

[@TheOrganicChemistryTutor]

Hi everyone, at 15:58, g' should be 5 and not 4. The derivative of 4 + 5x is 5 and not 4.

[@naomienonda9684]

fortunately you noticed it.

[@isabelhunter5133]

would the answer be 92(2x-3)^3/(4+5x)^5

[@ciprianosophia8535]

The Organic Chemistry Tutor knew it haha

[@lucymcollins]

Isabel Hunter I got the same answer as well

[@satvikaputcha]

Isabel Hunter Yes but I got the answer as -92 not positive 92. Check it please.

[@CinematicClips2]

16:00 that 4 should be a 5. This guy is so good at teaching that now you can even catch the mistakes.

[@armstrongtixid6873]

Yeah, check the top comment, though. Three years ago he pinned the top comment to correct the mistake.

[@benjaminisele8358]

Ukr i kept on solving and solving till i finallt figured out the mistake

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I was about to say that!

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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

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Me as a complete 0 in maths seeing this got super confused and I was pretty sure I am not mistaken

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@@dominictumulty1531 18 minutes 39 seconds

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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!

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Complex folding Trig function : 9:04 Quotient rule: 15:04 Simple trig function: 4:09

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Good luck bro

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Good job !

[@sfaulkner2733]

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!

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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 :)

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My teacher taught us this in one week, i learnt it in 18 mins from you

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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.

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[@FirstnameLastname-tg7ne]

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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11:22 .what did you get as your answer for the last question

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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!

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[@syremusic_]

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.

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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!!!!

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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❤

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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

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[@zack_120]

Excellent! sooo many examples that enable one to thoroughly grasp chain rules. 15:36 - A minor error: g' = 5, not 4.

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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.

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thank you for including so many examples. this was really helpful

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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 :)

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This 18 minutes beats the 2 hours in an Openstax textbook lmao. Greatly appreciated mate.

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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!!!!!!!!!!!

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nice approach I didn't know chain rule is that simple

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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

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I can't thank you enough bro!

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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

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your videos show the power of how practicing many examples really improves understanding

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this video is pure magic. my professor did not teach composite chain rule like this.

[@furrydeeznuts3622]

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

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I’m still failing calc but this video helped me a lot. Thanks man.

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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! :)

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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.

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you actually explain the content, properly and make it make sense

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Salamat po sa inyong turo. At Shout out po sa mga kaklase kong pupunta sa video na to. -nite

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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 :)

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Team Organic Chemistry...Your solutions are very self explanation. I am really enjoying your baby-step-tutorials . Thanks for the good work!!!

[@justinnnnnn5676]

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.

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Thank you so much for showing us different types of problems. So helpful.

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God bless you sir.

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Got a calc quiz in 7 minutes sheesh

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At first I didn't understand why these functions were solved using chains. Now I understand - much appreciated!

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This guy makes so much sense. I read my Stewart text book and get so lost, then come to this channel for enlightment.