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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. Derivatives - Limit Definition: 🤍 Derivatives - Alternate Limit Definition: 🤍 Derivatives - The Constant Rule: 🤍 Derivatives - The Power Rule: 🤍 Derivatives - Constant Multiple Rule: 🤍 Derivatives - Polynomial Functions: 🤍 Derivatives - Sine and Cosine: 🤍 Derivatives - Trigonometric Functions: 🤍 Derivatives - Limits: 🤍 _ Derivatives - Tangent Line: 🤍 Derivatives - Horizontal Tangent Line: 🤍 The Equation of The Normal Line: 🤍 The Equation of The Secant Line: 🤍 Average and Instantaneous Velocity: 🤍 Instantaneous Rate of Change: 🤍 Derivatives - Rational Functions: 🤍 Derivatives - Radical Functions: 🤍 Derivatives - Fractions: 🤍 Derivatives - Higher Order: 🤍 _ Derivatives - Simplifying: 🤍 Derivatives - Product Rule - f*g: 🤍 Derivatives - Product Rule - f*g*h: 🤍 Derivatives - Product Rule - f*g*h*k: 🤍 Derivatives - Quotient Rule: 🤍 Derivatives - Chain Rule: 🤍 Chain Rule With Trig Functions: 🤍 Chain Rule - Harder Examples: 🤍 Chain Rule - Triple SQRT(x): 🤍 Derivatives - Composite Functions: 🤍 _ Implicit Differentiation: 🤍 Derivatives - Inverse Trig Functions: 🤍 Derivatives - Exponential Functions: 🤍 Derivatives - Logarithmic Functions: 🤍 Logarithmic Differentiation: 🤍 Derivatives - Using Logarithms: 🤍 Derivatives - Inverse Functions: 🤍 Derivatives - Differentiation Rules: 🤍 Derivatives - Function Notations: 🤍 Derivatives - The Reciprocal Rule: 🤍 Introduction to Limits: 🤍 Introduction to Related Rates: 🤍 L'Hopital's Rule: 🤍 Antiderivatives: 🤍 Calculus 1 Final Exam Review: 🤍 Full-Length Exams and Worksheets: 🤍
MIT grad shows how to use the chain rule to find the derivative and WHEN to use it. To skip ahead: 1) For how to use the CHAIN RULE or "OUTSIDE-INSIDE rule", skip to time 0:17. 1b) For how to know WHEN YOU NEED the chain rule, skip to 4:35. 2) For another example with the POWER RULE in the chain rule, skip to 7:05. 3) For a TRIG derivative chain rule example, skip to 9:33. 3b) For the formal chain rule FORMULA, skip to 11:36. PS) For a DOUBLE CHAIN RULE (or "repeated use of the chain rule") example, skip to 13:33. Nancy formerly of MathBFF explains the steps. Follow Nancy on Instagram: 🤍 Twitter: 🤍 1) The CHAIN RULE is one of the derivative rules. You need it to take the derivative when you have a function inside a function, or a "composite function". For ex, in the equation y = (3x + 1)^7, since the function 3x+1 is inside a larger, outer function, the power of 7, you'll need the chain rule to find the correct derivative. How do you use the chain rule? You can think of it as the "OUTSIDE-INSIDE" rule: take the DERIVATIVE of JUST the OUTSIDE function first, LEAVING THE INSIDE FUNCTION alone (unchanged), then MULTIPLY BY the DERIVATIVE of JUST the INSIDE function. Sometimes you might hear this expressed as: take the derivative of the outer function, "evaluated at the inner function", times the derivative of just the inner function. For our ex, first take the derivative of the outer function (the power of 7) to get 7*(3x + 1)^6 since the derivative "power rule" tells you to bring down the power to the front (as a constant or coefficient just multiplied in the front) and then decrease the power by 1, which leaves a power of 6. Notice that you leave the inside function the way it is and just rewrite it for now. Then you multiply by the derivative of just the inner function, 3x + 1. Since the derivative of 3x + 1 is just 3, the full derivative (dy/dx) is: 7*[(3x + 1)^6]*3, which is just 21(3x + 1)^6. 1b) HOW do you know WHEN TO USE the chain rule? If the original equation had just been x^7, there would be no need for the chain rule. It's when you have something more than just x inside that you should use the chain rule, such as (3x + 1)^7 or even (x^2 + 1)^7. Sometimes the chain rule may make no difference. For instance, if you have the function (x + 1)^7, taking the derivative of the inside function just gives you 1, so multiplying by that inside derivative of 1 will not change the overall answer. However, it can't hurt to use the chain rule anyway, so it's a good idea to get in the habit of using it so that you don't forget it when it really does make a difference. 2) Another chain POWER RULE example: To find the derivative of h(x) = (x^2 + 5x - 6)^9, use the same steps as above to first take the outside derivative and then multiply by the inside derivative. In this case, the derivative, dh/dx (or h'(x)) is equal to 9(x^2 + 5x - 6)^8 * (2x + 5). Using the chain rule with the power rule is sometimes called the "power chain rule". 3) TRIG EXAMPLE: the idea is the same as above even if you're using the chain rule to differentiate something like a trigonometric function. If you have anything more than just x inside the trig function, you'll need the chain rule to find the derivative. For the equation y = sin(x^2 - 3x), you first take the derivative of the outer function, just the sine function. Since the derivative of sine is cosine, the outside derivative (with the inside left unchanged) is cos(x^2 - 3x). Then, find the derivative of just the inside (of just the x^2 - 3x part), and multiply by that. Since the derivative of x^2 - 3x is 2x - 3, the full derivative answer is dy/dx = cos(x^2 - 3x)*(2x - 3). 3b) FORMULA: Although it's easier to think about the chain rule as the "outside-inside rule", if for any reason you have to use the formal chain rule formula, check out the two versions I show here. Both are based on the equation being a composition of functions, f(g(x)). The second version shown uses Liebniz notation. Either way, both show a component of the derivative that comes from the inside function, and it's important not to forget to multiply by this inside derivative factor if you want to get the right full derivative answer. P.S.) DOUBLE CHAIN RULE: Sometimes you might have to use the chain rule more than once, known as "repeated use of the chain rule". In y = (1 + cos2x)^2, not only would you need to take the derivative of the outside power of 2, as well as multiply by the derivative of the inside function, 1 + cos2x, but after that you would ALSO then need to multiply by the derivative of the 2x inside cosine because that inside function was 1 + cos2x and not just 1 + cosx. This means you would use the chain rule twice. The idea is that you have to keep taking the derivative of the inner functions until you have reached every inner function that is more complicated than just "x". For more calculus math videos, check out: 🤍
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: 🤍 The chain rule states that the derivative of f(g(x)) is f'(g(x))_g'(x). In other words, it helps us differentiate *composite functions*. For example, sin(x_) is a composite function because it can be constructed as f(g(x)) for f(x)=sin(x) and g(x)=x_. Using the chain rule and the derivatives of sin(x) and x_, we can then find the derivative of sin(x_). Created by Sal Khan. Watch the next lesson: 🤍 Missed the previous lesson? 🤍 AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit 🤍khanacademy.org, join us on Facebook or follow us on Twitter at 🤍khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: 🤍 Subscribe to Khan Academy: 🤍
Learn how to use the chain rule when we take the derivative in our calculus 1 class. This is the most clear way to structure the chain rule derivative problems. Check out my chain rule playlist for more calculus practice problems. 🤍 - Support this channel and get my calculus notes on Patreon: 👉 🤍 Get the coolest math shirts from my Amazon store 👉 🤍 Calculus 1 lessons for beginner playlist: 👉 🤍 - #calculus #bprpcalculus #apcalculus #tutorial #math
A visual explanation of what the chain rule and product rule are, and why they are true. Help fund future projects: 🤍 This video was sponsored by Brilliant: 🤍 An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: 🤍 Home page: 🤍 Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced. 🤍 Timestamps: 0:00 - Intro 1:48 - Sum rule 4:13 - Product rule 8:41 - Chain rule 14:36 - Outro 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: 🤍 Various social media stuffs: Website: 🤍 Twitter: 🤍 Patreon: 🤍 Facebook: 🤍 Reddit: 🤍
The Chain Rule is a method for finding complex derivatives and is used all the time in Statistics and Machine Learning. This video breaks it down into its two simple pieces and shows you how they easily come together. We then use the Chain Rule to solve a common Machine Learning problem - optimizing the Residual Squared Loss Function. English This video has been dubbed using an artificial voice via 🤍 to increase accessibility. You can change the audio track language in the Settings menu. Spanish Este video ha sido doblado al español con voz artificial con 🤍 para aumentar la accesibilidad. Puede cambiar el idioma de la pista de audio en el menú Configuración. Portuguese Este vídeo foi dublado para o português usando uma voz artificial via 🤍 para melhorar sua acessibilidade. Você pode alterar o idioma do áudio no menu Configurações. For a complete index of all the StatQuest videos, check out: 🤍 If you'd like to support StatQuest, please consider... Buying my book, The StatQuest Illustrated Guide to Machine Learning: PDF - 🤍 Paperback - 🤍 Kindle eBook - 🤍 Patreon: 🤍 ...or... YouTube Membership: 🤍 ...a cool StatQuest t-shirt or sweatshirt: 🤍 ...buying one or two of my songs (or go large and get a whole album!) 🤍 ...or just donating to StatQuest! 🤍 Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter: 🤍 0:00 Awesome song and introduction 2:02 A super simple example 6:32 A slightly more complicated example 9:16 The Chain Rule when the relationship is not obvious 11:47 The Chain Rule for the Residual Sum of Squares Corrections: 13:05 When the residual is negative, the pink circle should be on the left side of the y-axis. And when the residual is positive, the pink circle should be on the right side. #StatQuest #TheChainRule #DubbedWithAloud
Learn how to get the derivative of a function using the chain rule method of differentiation. Need a tutor? Send us a DM on WhatsApp 🤍 Facebook : 🤍 #calculus #excellenceacademy #derivatives #jonahemmanuel #riverstateunivesity #function #limit #substitution #precalculus #variable #putme #jambnigeria #nigeriantutors #jamb
Part 4 of derivatives. Introduction to the chain rule. Practice this yourself on Khan Academy right now: 🤍
How to find the derivative using Chain Rule? The Hobbiters on Extra Math Challenge #calculus #derivative #chainrule Math Tutorial, Math Tricks, Math Brain Teaser and Riddle, Fast Math Tricks, Easy Math, Quick Math The Math quizzers of Panabo City National High School led by the coach came up with this channel to help students struggling in Math. It is then an opportunity to enhance their knowledge and skills in dealing math problems by the help of this channel.
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This multivariable calculus video explains how to evaluate partial derivatives using the chain rule and the help of a tree diagram. 3D Coordinate System: 🤍 3D Distance Formula: 🤍 Equation of a 3D Sphere: 🤍 Calculus 3 - Intro to Vectors: 🤍 Calculus 3 - The Dot Product: 🤍 Angle Between Two Vectors: 🤍 Parallel & Orthogonal Vectors: 🤍 Direction Cosines and Vectors: 🤍 Calculus 3 - Vector Projections: 🤍 Cross Product of 2 Vectors: 🤍 _ Area - Vector Cross Product: 🤍 Triple Scalar Product: 🤍 Vector Equations of Lines: 🤍 The Equation of a Plane: 🤍 Planar Equation - 3 Points: 🤍 Lines & Planes - Intersection: 🤍 Angle Between Two Planes: 🤍 Distance Between Point and Plane: 🤍 Chain Rule - Partial Derivatives: 🤍 Implicit Partial Differentiation: 🤍 _ Directional Derivatives: 🤍 Limits of Multivariable Functions: 🤍 Double Integrals: 🤍 Local Extrema & Critical Points: 🤍 Absolute Extrema - Max & Min: 🤍 Lagrange Multipliers: 🤍 Triple Integrals: 🤍 2nd Order - Differential Equations: 🤍 Undetermined Coefficients: 🤍 Variation of Parameters: 🤍
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) 🤍 !! Derivatives - Product + Chain Rule + Factoring - A quick example for a friend out there in internet land! For more free math videos, check out 🤍
Now we know how to take derivatives of polynomials, trig functions, as well as simple products and quotients thereof. But things get trickier than this! We may want to take the derivative of a composite function, where some function is operating on some other function. How can we do this? With the chain rule! It's easier than you think, I promise. Watch the whole Calculus playlist: 🤍 Watch the whole Mathematics playlist: 🤍 Classical Physics Tutorials: 🤍 Modern Physics Tutorials: 🤍 General Chemistry Tutorials: 🤍 Organic Chemistry Tutorials: 🤍 Biochemistry Tutorials: 🤍 Biology Tutorials: 🤍 EMAIL► ProfessorDaveExplains🤍gmail.com PATREON► 🤍 Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: 🤍 Bookshop: 🤍 Barnes and Noble: 🤍 Book Depository: 🤍
Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions
MIT grad shows how to use the chain rule for EXPONENTIAL, LOG, and ROOT forms and how to use the chain rule with the PRODUCT RULE to find the derivative. To skip ahead: 4) For an example with an EXPONENTIAL function that needs the chain rule to take the derivative, skip to time 0:32. 5) For an example with a natural LOG, skip to 2:34. 6) For an example with a SQUARE ROOT, skip to 4:41. 7) For how to use the CHAIN RULE with the PRODUCT RULE, and how to know which to use first, skip to 7:17. For an introduction of HOW and WHEN to use the chain rule, jump to my FIRST chain rule video: 🤍 Nancy formerly of MathBFF explains the steps. Support Nancy on Patreon: 🤍 Follow Nancy on Instagram: 🤍 Follow Nancy on Twitter: 🤍 The CHAIN RULE is one of the derivative rules. You need it to take the derivative when you have a function inside a function, or a "composite function". This video picks up at the end of the first chain rule video ("Chain Rule...How? When?" at 🤍 and shows more examples of using the chain rule, as well as how to combine the chain rule with the product rule. For an intro of how to take derivatives, jump to: 🤍 4) EXPONENTIAL: for the example y = e^(3x), first take the derivative of the outside function (the exponential function, e). The derivative of the exponential function is just the exponential function itself. When writing the outside derivative, leave the inside function (3x) the same, so write e^(3x). Then by the chain rule, you multiply by the derivative of just the inner function (3x). Since the inside derivative is 3, the answer for the full derivative dy/dx is 3e^(3x). 5) NATURAL LOG example: To find the derivative of y = ln(5x), use the same steps as above to first take the outside derivative and then multiply by the inside derivative. 5x is inside the natural log. The outer function here is the natural log, ln. To take the derivative of the natural log of something, we write 1 over that something, so 1 over 5x. We leave the inside function alone here when writing the outside derivative, so we write 1/(5x). Remember that we're not done yet. We also need to multiply by the derivative of the inside function. The derivative of 5x is just 5, so our final simplified answer for dy/dx is 1/x. 6) SQUARE ROOT example: For this example, y = sqrt(x^2 + 1), the x^2 + 1 is under a square root. The square root is the outside, outer function. When you have a root of any kind, before you take the derivative, it's easiest to rewrite it in the form of a fractional power, so that you can use the POWER RULE when taking its derivative. The outside function here is then the 1/2 power, and the inside function is x^2 + 1. To take the derivative of the outside one-half power, we use the power rule to bring down the 1/2 power to the front and reduce the old 1/2 power by 1. We then multiply by the inside derivative, and after simplifying get a derivative of y' = x / sqrt(x^2 + 1). Here I used Lagrange notation (y') for the derivative instead of the Liebniz notation from before (dy/dx). To learn the POWER RULE, jump to my video at: 🤍 7) CHAIN RULE WITH THE PRODUCT RULE: Sometimes you might need to use the chain rule combined with the product rule. How do you know whether to apply the chain rule first, or the product rule first? In this example, y = x^3 (2x - 5)^4, although the second factor here will need the chain rule for its derivative, overall in the biggest view of this function, we have a product of two factors. So we will use the product rule first here on the two factors, and then use the chain rule inside the product rule. However, for an example like ln[x^3 (2x-5)^4)], you would need to apply the chain rule first on the ln form, and then since your inside function is a product, you would need the product rule after that. Basically, the first thing you'll do is whatever you need to use to handle the outermost form of your function. For more calculus math help and videos, check out: 🤍 Editor: Miriam Nielsen of zentouro 🤍
A Level Maths revision tutorial video. For the full list of videos and more revision resources visit 🤍mathsgenie.co.uk.
👉 Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. There are various methods of finding the derivative of a function including, direct differentiation, product rule, quotient rule, chain rule (function of a function), etc. When given a function of the form y = f(g(x)), then the derivative of the function is given by y' = f'(g(x))g'(x). This method of differentiation is called the chain rule. The chain rule is used to find the derivative of a function that is a function of another function. 👏SUBSCRIBE to my channel here: 🤍 ❤️Support my channel by becoming a member: 🤍 🙋♂️Have questions? Ask here: 🤍 🎉Follow the Community: 🤍 Organized Videos: ✅The Derivative 🤍 ✅Find the First and Second Derivatives of a Function 🤍 ✅Find the Differentiability of a Function 🤍 ✅Find the Derivative of Absolute Value Function 🤍 ✅Find the Derivative of Exponential and Logarithmic Functions 🤍 ✅Find the Derivative using Implicit Differentiation 🤍 ✅Find the Derivative of Inverse Functions 🤍 ✅Find the Point Where the Tagent Line is Horizontal 🤍 ✅Write the Equation of the Tangent Line 🤍 ✅Find the Derivative from a Table 🤍 ✅Chain Rule Differentiation 🤍 ✅Product Rule Derivatives 🤍 ✅Find the Derivative of Trigonometric Functions 🤍 ✅Find the Derivative using the Power Rule 🤍 ✅Quotient Rule Derivatives 🤍 ✅Solve Related Rates Problems 🤍 🗂️ Organized playlists by classes here: 🤍 🌐 My Website - 🤍 🎯Survive Math Class Checklist: Ten Steps to a Better Year: 🤍 Connect with me: ⚡️Facebook - 🤍 ⚡️Instagram - 🤍 ⚡️Twitter - 🤍 ⚡️Linkedin - 🤍 👨🏫 Current Courses on Udemy: 🤍 👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: 🤍 #derivatives #brianmclogan
Basic Calculus The Chain Rule for Finding Derivatives | How to find the derivatives using Chain Rule The chain rule tells us how to find the derivative of a composite function. Brush up on your knowledge of composite functions, and learn how to apply the chain rule correctly. General Mathematics Playlist 🤍 Statistics and Probability Playlist 🤍 Pre-Calculus Playlist 🤍 Calculus Playlist 🤍 For more updates, you can also follow my Facebook Page: 🤍 Join this channel to get access to perks: 🤍 For Business and Collaboration: jeffreydelmundo2020🤍gmail.com Please don't forget to like, share, and subscribe! 🤍 Thank You Guys! #MathTeacher #ProfD
This calculus video tutorial explains how to find the derivative of composite functions using the chain rule. It also covers a few examples and practice problems on the product and quotient rule. Derivatives - Limit Definition: 🤍 Derivatives - Alternate Limit Definition: 🤍 Derivatives - The Constant Rule: 🤍 Derivatives - The Power Rule: 🤍 Derivatives - Constant Multiple Rule: 🤍 Derivatives - Polynomial Functions: 🤍 Derivatives - Sine and Cosine: 🤍 Derivatives - Trigonometric Functions: 🤍 Derivatives - Limits: 🤍 _ Derivatives - Tangent Line: 🤍 Derivatives - Horizontal Tangent Line: 🤍 The Equation of The Normal Line: 🤍 The Equation of The Secant Line: 🤍 Average and Instantaneous Velocity: 🤍 Instantaneous Rate of Change: 🤍 Derivatives - Rational Functions: 🤍 Derivatives - Radical Functions: 🤍 Derivatives - Fractions: 🤍 Derivatives - Higher Order: 🤍 _ Derivatives - Simplifying: 🤍 Derivatives - Product Rule - f*g: 🤍 Derivatives - Product Rule - f*g*h: 🤍 Derivatives - Product Rule - f*g*h*k: 🤍 Derivatives - Quotient Rule: 🤍 Derivatives - Chain Rule: 🤍 Chain Rule With Trig Functions: 🤍 Chain Rule - Harder Examples: 🤍 Chain Rule - Triple SQRT(x): 🤍 Derivatives - Composite Functions: 🤍 _ Implicit Differentiation: 🤍 Derivatives - Inverse Trig Functions: 🤍 Derivatives - Exponential Functions: 🤍 Derivatives - Logarithmic Functions: 🤍 Logarithmic Differentiation: 🤍 Derivatives - Using Logarithms: 🤍 Derivatives - Inverse Functions: 🤍 Derivatives - Differentiation Rules: 🤍 Derivatives - Function Notations: 🤍 Derivatives - The Reciprocal Rule: 🤍 Introduction to Limits: 🤍 Introduction to Related Rates: 🤍 Local Maximum & Minimum: 🤍 L'Hopital's Rule: 🤍 Optimization Problems: 🤍 Antiderivatives: 🤍 Calculus 1 Final Exam Review: 🤍 Full-Length Exams and Worksheets: 🤍
This video explores how to differentiate more complex composite functions (functions within functions), using the chain rule. I also cover the derivatives of sin, cos and tan and use them with the chain rule. Enjoy! 🤍 🤍starfishmaths.com starfishmaths🤍gmail.com
🤍 Pearson A level Maths, Pure Year 2 Textbook (9.3) In this video I start by introducing the chain rule for differentiation. I go over two different ways to differentiate a function using the chain rule for differentiation; covering both examples and exam style questions. Follow me on Twitter and Instagram: Twitter : 🤍 Instagram : 🤍
Buy our AP Calculus workbook at 🤍 Need a tutor? Click this link and get your first session free! 🤍 For notes, practice problems, and more lessons visit the Calculus course on 🤍 This lesson follows the Course and Exam Description recommended by College Board for *AP Calculus. On our website, it is found under Calculus Version #1. *AP® is a trademark registered and owned by the College Board, which was not involved in the production of, and does not endorse, our videos or our website.
Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions: How to find derivatives of Multivariable Functions involving Parametrics and/or Compositions. Focus will be on deriving the Chain Rule and practice of examples.
The chain rule can be a tricky rule in calculus, but if you can identify your outside and inside function you'll be on your way to doing derivatives like a pro! Remember to put the inside function into the derivative of the outside function, then multiply by the derivative of the inside.
This calculus video tutorial explains the concept of implicit differentiation and how to use it to differentiate trig functions using the product rule, quotient rule - fractions, and chain rule. Derivatives - Limit Definition: 🤍 Derivatives - Alternate Limit Definition: 🤍 Derivatives - The Constant Rule: 🤍 Derivatives - The Power Rule: 🤍 Derivatives - Constant Multiple Rule: 🤍 Derivatives - Polynomial Functions: 🤍 Derivatives - Sine and Cosine: 🤍 Derivatives - Trigonometric Functions: 🤍 Derivatives - Limits: 🤍 _ Derivatives - Tangent Line: 🤍 Derivatives - Horizontal Tangent Line: 🤍 The Equation of The Normal Line: 🤍 The Equation of The Secant Line: 🤍 Average and Instantaneous Velocity: 🤍 Instantaneous Rate of Change: 🤍 Derivatives - Rational Functions: 🤍 Derivatives - Radical Functions: 🤍 Derivatives - Fractions: 🤍 Derivatives - Higher Order: 🤍 _ Derivatives - Simplifying: 🤍 Derivatives - Product Rule - f*g: 🤍 Derivatives - Product Rule - f*g*h: 🤍 Derivatives - Product Rule - f*g*h*k: 🤍 Derivatives - Quotient Rule: 🤍 Derivatives - Chain Rule: 🤍 Chain Rule With Trig Functions: 🤍 Chain Rule - Harder Examples: 🤍 Chain Rule - Triple SQRT(x): 🤍 Derivatives - Composite Functions: 🤍 _ Implicit Differentiation: 🤍 Derivatives - Inverse Trig Functions: 🤍 Derivatives - Exponential Functions: 🤍 Derivatives - Logarithmic Functions: 🤍 Logarithmic Differentiation: 🤍 Derivatives - Using Logarithms: 🤍 Derivatives - Inverse Functions: 🤍 Derivatives - Differentiation Rules: 🤍 Derivatives - Function Notations: 🤍 Derivatives - The Reciprocal Rule: 🤍 Introduction to Limits: 🤍 Introduction to Related Rates: 🤍 Local Maximum & Minimum: 🤍 L'Hopital's Rule: 🤍 Optimization Problems: 🤍 Antiderivatives: 🤍 Calculus 1 Final Exam Review: 🤍 Full-Length Exams and Worksheets: 🤍
👉 Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. There are various methods of finding the derivative of a function including, direct differentiation, product rule, quotient rule, chain rule (function of a function), etc. When given a function of the form y = f(g(x)), then the derivative of the function is given by y' = f'(g(x))g'(x). This method of differentiation is called the chain rule. The chain rule is used to find the derivative of a function that is a function of another function. 👏SUBSCRIBE to my channel here: 🤍 ❤️Support my channel by becoming a member: 🤍 🙋♂️Have questions? Ask here: 🤍 🎉Follow the Community: 🤍 Organized Videos: ✅The Derivative 🤍 ✅Find the First and Second Derivatives of a Function 🤍 ✅Find the Differentiability of a Function 🤍 ✅Find the Derivative of Absolute Value Function 🤍 ✅Find the Derivative of Exponential and Logarithmic Functions 🤍 ✅Find the Derivative using Implicit Differentiation 🤍 ✅Find the Derivative of Inverse Functions 🤍 ✅Find the Point Where the Tagent Line is Horizontal 🤍 ✅Write the Equation of the Tangent Line 🤍 ✅Find the Derivative from a Table 🤍 ✅Chain Rule Differentiation 🤍 ✅Product Rule Derivatives 🤍 ✅Find the Derivative of Trigonometric Functions 🤍 ✅Find the Derivative using the Power Rule 🤍 ✅Quotient Rule Derivatives 🤍 ✅Solve Related Rates Problems 🤍 🗂️ Organized playlists by classes here: 🤍 🌐 My Website - 🤍 🎯Survive Math Class Checklist: Ten Steps to a Better Year: 🤍 Connect with me: ⚡️Facebook - 🤍 ⚡️Instagram - 🤍 ⚡️Twitter - 🤍 ⚡️Linkedin - 🤍 👨🏫 Current Courses on Udemy: 🤍 👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: 🤍 #derivatives #brianmclogan
Suppose that f(x,y) depends on two variables but that the x(t) and y(t) are themselves both functions of t. Then f(x(t), y(t)) is a composition of functions and the derivative of f with respect to t is computed via the multi-variable Chain Rule. In fact, this scenario is one of many different generalizations of the single variable chain rule. We can use arrow (or dependency) diagrams to illustrate the relationships between a bunch of multivariable functions and for each situation write down a chain rule that gives the slope. The idea in the example given here is that a small change in t results in a small change in both x and y which in turn result in a small change in f. YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! ►Full Multivariable Calculus Playlist: 🤍 Other Course Playlists: ►CALCULUS I: 🤍 ► CALCULUS II: 🤍 ►DISCRETE MATH: 🤍 ►LINEAR ALGEBRA: 🤍 * ► Want to learn math effectively? Check out my "Learning Math" Series: 🤍 ►Want some cool math? Check out my "Cool Math" Series: 🤍 * ►Follow me on Twitter: 🤍 * This video was created by Dr. Trefor Bazett BECOME A MEMBER: ►Join: 🤍 MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: 🤍
Chains f(g(x)) and the Chain Rule Instructor: Gilbert Strang 🤍 License: Creative Commons BY-NC-SA More information at 🤍 More courses at 🤍
Basic Calculus The Chain Rule for Finding Derivatives | How to find the derivatives using Chain Rule The chain rule tells us how to find the derivative of a composite function. Brush up on your knowledge of composite functions, and learn how to apply the chain rule correctly. General Mathematics Playlist 🤍 Statistics and Probability Playlist 🤍 Pre-Calculus Playlist 🤍 Calculus Playlist 🤍 For more updates, you can also follow my Facebook Page: 🤍 Join this channel to get access to perks: 🤍 For Business and Collaboration: jeffreydelmundo2020🤍gmail.com Please don't forget to like, share, and subscribe! 🤍 Thank You Guys! #MathTeacher #ProfD
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Learn the derivative product rule, quotient rule, and chain rule for your Calculus 1 class. This tutorial is for calculus beginners to learn the differentiation techniques easily. We will also do 4 examples, differentiate x^3*sin(x), sin(x)/(1+cos(x)), (sec(x))^3, and sec(x^3). Check out my 100-derivative video for more differentiation practice. 🤍 🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6 💪 Get my math notes by becoming a patron: 🤍 #blackpenredpen #math #calculus #apcalculus
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: 🤍 Here we use the formal properties of continuity and differentiability to see why the chain rule is true. Watch the next lesson: 🤍 Missed the previous lesson? 🤍 AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit 🤍khanacademy.org, join us on Facebook or follow us on Twitter at 🤍khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: 🤍 Subscribe to Khan Academy: 🤍
Master the derivative chain rule with trigonometric functions. Here we will do 6 derivative problems that require the chain rule twice! Be sure you master the one-step chain rule problems here: 🤍 - Support this channel and get my calculus notes on Patreon: 👉 🤍 Get the coolest math shirts from my Amazon store 👉 🤍 Calculus 1 lessons for beginner playlist: 👉 🤍 - #calculus #bprpcalculus #apcalculus #tutorial #math
In this lesson, you will learn how to take derivatives in calculus using the chain rule. The chain rule instructs us on how to take derivatives of nested functions, or functions inside of functions. The procedure is that we take the derivative of the outer function, then take the derivative of the inner function, then multiply the results. Here we practice taking derivatives using the chain rule. More Lessons: 🤍 Twitter: 🤍
BUders üniversite matematiği derslerinden calculus-I dersine ait "Zincir Kuralı (Chain Rule) " videosudur. Hazırlayan: Kemal Duran (Matematik Öğretmeni) 🤍 adresinden özgeçmişe ulaşabilirsiniz. 🤍
This video gives a very simple explanation of a chain rule that is used while training a neural network. Chain rule is something that is covered when you study differential calculus. Now don't worry about not knowing calculus, the chain rule is rather a simple mathematical concept. As a prerequisite of this video please watch my video on derivative in this sample deep learning series (link of entire series is below). It is even better if you watch this entire series step by step so that you have your foundations clear when you are watching this video. 🔖 Hashtags 🔖 #chainruleneuralnetwork #chainrule #chainrulepython #neuralnetworkpythontutorial #chainrulederivatives Do you want to learn technology from me? Check 🤍 for my affordable video courses. Next Video: 🤍 Previous video: 🤍 Deep learning playlist: 🤍 Machine learning playlist : 🤍 Khan academy video on chain rule: 🤍 Prerequisites for this series: 1: Python tutorials (first 16 videos): 🤍 2: Pandas tutorials(first 8 videos): 🤍 3: Machine learning playlist (first 16 videos): 🤍 Website: 🤍 Facebook: 🤍 Twitter: 🤍
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