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Product rule | Taking derivatives | Differential Calculus | Khan Academy
 
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Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/quotient-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/product-rule-proof?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 598905 Khan Academy
Differentiation - Product Rule : ExamSolutions
 
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Go to http://www.examsolutions.net/maths-revision/index.php to see the main index of maths video tutorials
Views: 123705 ExamSolutions
Differentiation - Product Rule with Easy Exampls  | Stay Learning |CBSE (HINDI | हिंदी)
 
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Buy Now all Video Lectures - http://www.vijayadarsh.com/Mathematics-XII.html Buy Now Class Handwritten Notes - http://www.vijayadarsh.com/Mathematics-XII.html Join us on Facebook: https://www.facebook.com/VijayAdarshIndia Join us on Google+: https://plus.google.com/u/0/+VIJAYADARSH Website: http://www.vijayadarsh.com E-mail: [email protected] Contact: +91 9268373738 (Buy Now all Video Lectures) About Vijay Adarsh: Vijay Adarsh (CEO and Director of StayLearning) is a Successful Teacher and Famous Coach. He is the most enthusiastic, dynamic, informative and result oriented coach. He is a commerce graduate from Delhi University. After completing B.com (Hons), he completed his post-graduation and now pursuing PhD. He started teaching students of and motivating people at the age of 17 and possesses a vast experience of teaching more than 45,000 hrs. He has simplified subjects and made it very interesting, Learning with Fun and Easy for the students. His easy class notes, beautiful animated & graphic presentations are popular among the students. He is popular among the student community for possessing the excellent ability to communicate the concepts in analytical and graphical way. He has conducted many seminars & workshops on various topics for Students, Teachers, Schools, Businessman, Housewife, Income Tax Offices, Doctors, CA's and Corporate Houses. He is also the author of several Books, e-Books, Motivational Articles & Stories Books and Launched many Audio & Video Programs. About Video Lectures: Video Lectures for Mathematics by Vijay Adarsh evolved as utility services for our own students. We had thought that recorded lecture would be an excellent reinforcement tool for the students and it proved to be exactly that. We have video lectures for Class 11th, 12th, B.Com (H/P), M.Com, MBA examination. These are our classroom lectures which form a very good source of study material. Now we also have special set of video lectures which are specially prepared to suit the need for the board students. The Lectures Covers in full depth, the description of all the involved concepts. Studying through lectures largely reduces the need of individual tuition. Lectures can be use at a pace which suits us. Students can pause and rewind the lectures according to their need. Complete practice tests and solutions of every topic would also be provided. Website: http://www.vijayadarsh.com Join us on Facebook: https://www.facebook.com/VijayAdarshIndia Join us on Google+: https://plus.google.com/u/0/+VIJAYADARSH E-mail: [email protected] Contact: +91 9268373738 (Buy Now all Video Lectures)
Views: 72618 StayLearning
Product Rule of Differentiation: Example
 
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Learn the product rule of differentiation via example. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/primer_dif.html
Views: 12744 numericalmethodsguy
Product Rule for Derivatives  (Calculus)
 
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The product rule is one of the fundamental derivative rules in calculus. It shows you how to take the derivative of the product of two functions: f·g. In this video we will introduce the product rule, talk about common mistakes, and give several examples. ************** If you would like to help us make new videos, you can support us through Patreon at https://www.patreon.com/socratica We also welcome Bitcoin donations! Our Bitcoin address is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank you!! ************** Written and Produced by Michael Harrison Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google as a software engineer for over 5 years before leaving to found Socratica. You can follow Michael on Twitter @mlh496 ************** You can also follow Socratica on: - Twitter: @socratica - Instagram: @SocraticaStudios - Facebook: @SocraticaStudios Please Subscribe so you'll hear about our newest videos! If you found this video helpful, please give it a "thumbs up" and share it with your friends!
Views: 22078 Socratica
Derivatives - Power, Product, Quotient and Chain Rule - Functions & Radicals - Calculus Review
 
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This calculus video tutorial shows you how to find the derivative of any function using the power rule, quotient rule, chain rule, and product rule. It shows you how to differentiate polynomial, rational functions, trigonometric functions, inverse functions, exponential equations and logarithmic functions. It's a nice review of calculus in preparation for your next test or exam. Here's a list of topics covered in this review of derivatives: 1. How To Find The Derivative of a Constant 2. How To Calculate The Derivative Using The Power Rule on a Monomial or Polynomial 3. Derivative of Fractions and Negative Exponents 4. Derivative of Radicals and Fractional Exponents 5. Derivative of Trigonometric Functions - Sine, Cosine, Tangent, Cotangent, Secant, and Cosecant 6. Derivative of Natural Logarithms / Logs 7. Derivatives of Logarithms 8. Derivatives of Exponential Functions - e^x or a^x 9. Logarithmic Differentiation 10. Product Rule, Quotient Rule, and Chain Rule 11. Implicit Differentiation 12. How To Differentiate With Respect to Another Variable Such as y or time for related rate problems 13. How To Find The Derivative of an Inverse Function 14. How To Find The Derivative Using Limits - Radicals, Fractions, Exponents & Factoring Here's a list of problems covered in this video: 1. 5, 8, pi, pi^e, 4e 2. x^2, x^3, x^4, x^5 3. 4x^5, 7x^6, 8x^3 4. 4x^3 + 8x^2 - 7x + 6 5. 5x, 8x, 12x, x^1 6. 1/x^2, 1/x^3, 1/x^5, 7/x^6 7. sqrt(x), cube root(x^4), x^(3/7) 8. 8x^5 - 3/x^3 + x^(4/5) 9. sin(x), cos(x^3), tan(x^4), sec(7x), cot(x^4), csc(x^3+x^2) 10. ln(x), ln(x^2), ln(x^4-x^3), ln(sinx) 11. log5(x^3+x^2), log4(x^3) 12. e^x, e^2x, e^3x, e^x^2, e^tanx 13. 5^x, 7^x^2, 8^x^3, x^3, 3^x, x^x, x^sinx 14. (x^2)(sinx), x^3ex^2, x^4lnx 15. (x^3+6x)/(5x-8), (x^3+7x^2)/12x^5, sin(x^4), (x^3+5x^2)^4 16. tan(sinx^4), sin^3(cos(tanx^5)) 17. x^3+y^3=8, x^2+2xy+y^2=7, tan(xy)=7
Calculus - Derivatives - Quotient-Product Chain Rule (1 of 4)
 
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Visit http://ilectureonline.com for more math and science lectures! This video is part of an eight 8 part lecture series on derivatives. Different algebraic expressions require different techniques in order to discover their derivation. I encourage you to watch the whole series and familiarize yourself with each technique as calculus is the key to understanding pretty much everything about the world!
Views: 51185 Michel van Biezen
Derivatives - Product + Chain Rule + Factoring
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Derivatives - Product + Chain Rule + Factoring - A quick example for a friend out there in internet land! For more free math videos, check out http://PatrickJMT.com
Views: 368681 patrickJMT
PRODUCT RULE/ QUOTIENT RULE/ CHAIN RULE CONTINUITY AND DIFFERENTIABILITY PART-2
 
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© Copyright 2017, Neha Agrawal. All rights reserved. Product Rule, Quotient Rule, Chain Rule and Standard Formulas of Differentiation. This video is Part 2 of the CBSE class XII 12th chapter- Continuity and Differentiability. Also, a part of CBSE class XI 11th Limits and Derivatives Please subscribe to my channel at https://www.youtube.com/channel/UCfSUSGxsZBBE3o8bCQpqYgw Link to Differentiability (Continuity and Differentiability Part-1) https://youtu.be/g09gNmO6M40 CHANNEL PLAYLIST FOR CONTINUITY https://www.youtube.com/playlist?list=PLTa2m6WeLW_8KsyD5M3LoY9YxMMcRok75 CHANNEL PLAYLIST FOR MATRICES https://www.youtube.com/playlist?list=PLTa2m6WeLW_9J9Jif5iQMFZ5aaGymwk-M CHANNEL PLAYLIST FOR Inverse Trigonometric Functions https://www.youtube.com/playlist?list=PLTa2m6WeLW_-esFJBOyg225Dh-9wQi_D6 DETERMINANTS https://youtu.be/bnaKGsLYJvQ To find Determinant of a 2X2 and 3X3 matrix LIKE SHARE AND SUBSCRIBE!
Derivative of e_____cos(e_) | Advanced derivatives | AP Calculus AB | Khan Academy
 
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Sal differentiates e_____cos(e_) by applying both the product rule and the chain rule. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/derivative-of-lnx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/exponential-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB 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 www.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: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 133231 Khan Academy
Product rule | Derivative rules | AP Calculus AB | Khan Academy
 
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Introduction to the product rule, which tells us how to take the derivative of a product of functions. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/e/differentiate-products?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/v/product-rule-example-implicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-sin-cos/e/differentiate-sine-and-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB 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 www.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: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 374880 Khan Academy
Calculus - The product rule for derivatives
 
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This video will show you how to do the product rule for derivatives. Remember to use this rule when you want to take the derivative of two functions being multiplied by one another. For more videos please visit http://www.mysecretmathtutor.com
Views: 147840 MySecretMathTutor
Product rule proof | Taking derivatives | Differential Calculus | Khan Academy
 
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Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/using-the-product-rule-and-the-chain-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 81819 Khan Academy
Basic Product Rule Example #1
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Please consider supporting PJMT on Patreon! https://www.patreon.com/patrickjmt?ty=c Basic Product Rule Example #1
Views: 9311 patrickJMT
Differentiation  product rule
 
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Differentiation using the product rule
Views: 3073 mathspays
Calculus 1 Lecture 2.3:   The Product and Quotient Rules for Derivatives of Functions
 
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Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions
Views: 112271 Professor Leonard
Differentiation Rules - Power/Product/Quotient/Chain
 
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This video tutorial outlines 4 key differentiation rules used in calculus, The power, product, quotient, and chain rules. The general form and examples of each are shown.
Views: 74842 MathReview101
Product Rule for Derivatives
 
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When the Basic Differentiation Rules aren't enough... In this video I do 4 examples of finding the Derivative of a function using the Product Rule. The textbook I teach from states the product rule as d/dx[f(x)g(x)]=f(x)g'(x)+-g(x)f'(x) instead of d/dx(f(x)g(x))=f(x)g'(x)+-f'(x­)g(x) and I have adjusted my class notes to reflect this discrepancy. I have checked all of the examples in this video and the final answers are correct. Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com
Views: 29099 ProfRobBob
Differentiation: The Product Rule [fbt]
 
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This video by Fort Bend Tutoring shows the process of using the product rule to find the derivative of expressions and functions in calculus. This is a fundamental calculus concept and is used in all calculus classes. Instruction by Larry "Mr. Whitt" Whittington. Subscribe to Fort Bend Tutoring [fbt] here: https://goo.gl/JuczKk Check out our Fort Bend Tutoring Amazon Affiliate Store for recommendations on products and textbooks to help you in your academic endeavors! https://www.amazon.com/shop/fortbendtutoring http://FortBendTutoring.spreadshirt.com http://Shop.TutorMeMath.net Please donate to assist us in bringing the world more free videos through our YouTube Channel using the link: http://www.tutormemath.net/free-tutorials.html This Donation button is secured using PayPal. http://www.TutorMeMath.net http://www.facebook.com/FortBendTutoring http://www.twitter.com/FtBendTutoring
Views: 5703 Fort Bend Tutoring
Proof of the Product Rule from Calculus
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Proof of the Product Rule from Calculus. Here I show how to prove the product rule from calculus! This is one of the reason's why we must know and use the limit definition of the derivative. After all, that IS what a derivative is... if that makes sense! :)
Views: 49343 patrickJMT
Product Rule
 
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Product rule, step by step, derivative example. For more free calculus videos visit http://MathMeeting.com.
Views: 55625 Math Meeting
Power Rule, Product & Quotient Rule - Exponents, Fractions, Square Roots - Derivatives & Calculus
 
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This calculus video tutorial explains how to find the derivative using the power rule, product rule, and quotient rule. It contain examples of using the power rule on exponents, fractions, and square root functions. It contains plenty of practice problems for you to work on.
Product rule - Calculus derivatives tutorial
 
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Learn how to take the derivative of a function using the product rule. This complete calculus derivatives tutorial explains why and how to use the product rule. To see all my calculus videos check out my website http://MathMeeting.com My name is Chris and my passion is to teach math. Learning should never be a struggle which is why I make all my videos as simple and fun as possible. I cover all subjects from basic level math through upper level calculus and statistics. I also make brain teaser, word problems, and Rubik's cube videos for fun. Website - http://MathMeeting.com Channel Page - http://Youtube.com/MathMeeting Facebook Page - http://facebook.com/MathMeeting Patreon Page - http://patreon.com/MathMeeting
Views: 1328 Math Meeting
Differentiation - The Product Rule : ExamSolutions Maths Revision
 
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Go to http://www.examsolutions.net/ for the index, playlists and more maths videos on differentiation, calculus and other maths topics.
Views: 78602 ExamSolutions
PRODUCT RULE (DIFFERENTIATION) #24
 
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Learn product rule and how to apply product rule in differentiation LEARN PRODUCT RULE IN DIFFERENTIATION D/DX(UV) LEARN BASIC RULES OF DIFFERENTIATION
Views: 1544 BRMATHSCLASS
Implicit Differentiation Explained - Product Rule, Quotient & Chain Rule - Calculus
 
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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. Examples and practice problems Include Implicit differentiation with first and second derivatives and radical / square root functions.
How To Use The Product Rule - VCE Maths Methods
 
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http://www.BetterMarksInMaths.com/vce-maths-methods-tutorials This lesson will show you how to Differentiate the product of a Square Root function and a Quadratic function using the product rule. Get help with the questions you're stuck on in the Free members area for VCE Maths Methods Unit 3 & 4.
Views: 2579 BetterMarksInMaths
❤︎² The Chain Rule... How? (mathbff)
 
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Nancy is on a new channel, NancyPi! New videos with Nancy will be at: https://youtube.com/NancyPi Follow: http://instagram.com/mathbff http://facebook.com/mathbff http://twitter.com/mathbff 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 time 4:35. 2) For another example with the POWER RULE in the chain rule, skip to time 7:05. 3) For a TRIG derivative chain rule example, skip to time 9:33. 3b) For the formal chain rule FORMULA, skip to time 11:36. PS) For a DOUBLE CHAIN RULE (or "repeated use of the chain rule") example, skip to time 13:33. 1) CHAIN RULE: You need the chain rule to take the derivative when you have a function inside a function, or a "composite function". For example, in the equation y = (3x + 1)^7, since the function 3x+1 is inside a larger, outer function, the power of 7, you will need the chain rule to find the correct derivative. How do you use the chain rule? You can think of the chain rule as the "OUTSIDE-INSIDE" rule: take the DERIVATIVE of JUST the OUTSIDE function first, LEAVING THE INSIDE FUNCTION alone (unchanged), and 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 example, first take the derivative of the outer function (the power of 7) to get 7*(3x + 1)^6 since the power rule tells you that to take the derivative of a power you bring down the power to the front (as a constant or coefficient just multiplied in the front) and then you 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 are using the chain rule to differentiate something like a trigonometric function. If you have anything more than just x inside the trig function, you will 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. Anyway, 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".
Views: 990727 mathbff
The product rule for calculus
 
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Video tutorial on the product rule for calculus
Views: 2088 MathMateVideos
Quotient rule from product & chain rules | Derivative rules | AP Calculus AB | Khan Academy
 
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Sal shows how you can derive the quotient rule using the product rule and the chain rule (one less rule to memorize!). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/differentiating-using-multiple-rules-strategy?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/chain-rule-proof?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB 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 www.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: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 262934 Khan Academy
Derivatives of Trigonometric Functions - Product Rule Quotient & Chain Rule - Calculus Tutorial
 
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This calculus video tutorial explains how to find the derivative of trigonometric functions such as sinx, cosx, tanx, secx, cscx, and cotx. It contain examples and practice problems involving the use of the product rule, quotient rule, and chain rule. Here is a list of topics: 1. Derivative of the six trigonometric functions - sin, cos, tan, cot, sec, and csc 2. Derivative of Polynomial Functions with Trig Functions 3. Product Rule - Derivative of x^2 sinx and x^3 cosx 4. Quotient Rule - Derivative of Fractions and Rational Functions 5. Chain Rule - Derivative of Composite functions 6. Derivative of sin(5x), cos(x^3), sec(x^2), tan(sin4x), sin^2(3x) 7. Trig functions inside of other trigonometric functions 8. prove d/dx (secx) = secxtanx 9. prove d/dx (cotx) = -csc^2 x 10. trigonometric proofs
Implicit differentiation using the product rule
 
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http://www.freemathvideos.com In this video series you will learn how to take the derivative of a function. We will first look at the definition of a derivative by identifying the slope of a line to a curve and using the limit definiton of a derivative to evaluate. Once we have an understanding of a derivative we will learn how to take the derivative of a function using mulitple rules such as sum and difference, product, quotient and chain rule. We will go over polynomials, trigonometric functions, rational functions, transcendentals(exponential and logarithmic) and piecewise. Once we have master the basic rules it will now be time to derive equations implicitly and solve related rates word problems. d(xy^2)/dx #Calculus #derivatives
Views: 1982 Brian McLogan
Quotient Rule with Easy Example - Differentiation | Stay Learning |CBSE (HINDI | हिंदी)
 
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Buy Now all Video Lectures - http://www.vijayadarsh.com/Mathematics-XII.html Buy Now Class Handwritten Notes - http://www.vijayadarsh.com/Mathematics-XII.html Join us on Facebook: https://www.facebook.com/VijayAdarshIndia Join us on Google+: https://plus.google.com/u/0/+VIJAYADARSH Website: http://www.vijayadarsh.com E-mail: [email protected] Contact: +91 9268373738 (Buy Now all Video Lectures) About Vijay Adarsh: Vijay Adarsh (CEO and Director of StayLearning) is a Successful Teacher and Famous Coach. He is the most enthusiastic, dynamic, informative and result oriented coach. He is a commerce graduate from Delhi University. After completing B.com (Hons), he completed his post-graduation and now pursuing PhD. He started teaching students of and motivating people at the age of 17 and possesses a vast experience of teaching more than 45,000 hrs. He has simplified subjects and made it very interesting, Learning with Fun and Easy for the students. His easy class notes, beautiful animated & graphic presentations are popular among the students. He is popular among the student community for possessing the excellent ability to communicate the concepts in analytical and graphical way. He has conducted many seminars & workshops on various topics for Students, Teachers, Schools, Businessman, Housewife, Income Tax Offices, Doctors, CA's and Corporate Houses. He is also the author of several Books, e-Books, Motivational Articles & Stories Books and Launched many Audio & Video Programs. About Video Lectures: Video Lectures for Mathematics by Vijay Adarsh evolved as utility services for our own students. We had thought that recorded lecture would be an excellent reinforcement tool for the students and it proved to be exactly that. We have video lectures for Class 11th, 12th, B.Com (H/P), M.Com, MBA examination. These are our classroom lectures which form a very good source of study material. Now we also have special set of video lectures which are specially prepared to suit the need for the board students. The Lectures Covers in full depth, the description of all the involved concepts. Studying through lectures largely reduces the need of individual tuition. Lectures can be use at a pace which suits us. Students can pause and rewind the lectures according to their need. Complete practice tests and solutions of every topic would also be provided. Website: http://www.vijayadarsh.com Join us on Facebook: https://www.facebook.com/VijayAdarshIndia Join us on Google+: https://plus.google.com/u/0/+VIJAYADARSH E-mail: [email protected] Contact: +91 9268373738 (Buy Now all Video Lectures)
Views: 39127 StayLearning
Proof - The Product Rule of Differentiation
 
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This video proves the product rule of differentiation. http://mathispower4u.com
Views: 353 Mathispower4u
Product Rule and Chain Rule: Differentiation Exam Question Answered
 
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How to differentiate a product where one function is a function of a function: Edexcel C3 Jan09 Question 1a. Oops! At 5:41 Jay should have said "the square root of" - what she has written is correct.
Views: 396 Maths with Jay
UV RULE ( PRODUCT RULE)
 
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LEARN UV RULE DIFFERENTIATION WITH EXAMPLES LEARN HOW TO FIND DERIVATIVE USING UV RULE LEARN HOW TO USE UV RULE IN DIFFERENTIATION PRACTICE PROBLEMS OF UV RULE PRODUCT RULE AND QUOTIENT RULE USING DIFFERENTIATION UV RULE | PRODUCT RULE | DERIVATIVE USING UV RULE | NCERT CLASS 12 DERIVATIVES
Views: 576 BRMATHSCLASS
Applying the chain rule and product rule | Advanced derivatives | AP Calculus AB | Khan Academy
 
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Example showing multiple strategies for taking a derivative that involves both the product rule and the chain rule. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/e/derivatives-capstone?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/applying-chain-rule-twice?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/differentiating-using-multiple-rules-strategy?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB 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 www.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: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 26136 Khan Academy
Differentiating using multiple rules: strategy | AP Calculus AB | Khan Academy
 
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How to analyze the structure of an elaborate expression do determine which derivative rules to use, and (not less important) in what order. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/e/differentiating-using-multiple-rules-strategy?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/applying-the-chain-rule-and-product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/quotient-rule-from-product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB 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 www.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: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 23351 Khan Academy
Proof:  The Product Rule of Differentiation
 
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This video explains the proof of the product rule using the limit definition of the derivative. Site: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
Views: 7463 Mathispower4u
Product Rule Example 3 - Multiple Terms (KristaKingMath)
 
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In this video I will explain a product rule calculus problem. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com FACEBOOK // https://www.facebook.com/KristaKingMath TWITTER // https://twitter.com/KristaKingMath INSTAGRAM // https://www.instagram.com/kristakingmath/ PINTEREST // https://www.pinterest.com/KristaKingMath/ GOOGLE+ // https://plus.google.com/+Integralcalc/ QUORA // https://www.quora.com/profile/Krista-King
Views: 7423 Krista King
Product rule - 3+ functions (KristaKingMath)
 
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► My Derivatives course: https://www.kristakingmath.com/derivatives-course Learn how to use product rule to calculate the derivative of a function which is the product of three or more functions. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com FACEBOOK // https://www.facebook.com/KristaKingMath TWITTER // https://twitter.com/KristaKingMath INSTAGRAM // https://www.instagram.com/kristakingmath/ PINTEREST // https://www.pinterest.com/KristaKingMath/ GOOGLE+ // https://plus.google.com/+Integralcalc/ QUORA // https://www.quora.com/profile/Krista-King
Views: 13295 Krista King
Proving the power, product and quotient rules by using logarithmic differentiation & the chain rule
 
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d/dx(ln(x)), proving the derivative of ln(x), https://www.youtube.com/watch?v=SSj9xjDPWtU Proving the power rule, Proving the product rule, Proving the quotient rule, Proving the power to the power rule, blackpenredpen, math for fun
Views: 16654 blackpenredpen
A Derivative Using the Product Rule with Trig Functions - Calculus
 
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An example of applying the product rule to differentiate a function involving trig functions.
Views: 842 Mr. S Math
Derivatives - Quotient and Chain Rule and Simplifying
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Derivatives - Quotient and Chain Rule and Simplifying - One complete example. For more free math videos, visit http://PatrickJMT.com
Views: 324438 patrickJMT
Product rule for more than two functions
 
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More free lessons at: http://www.khanacademy.org/video?v=Bkkk0RLSEy8
Views: 187525 Khan Academy
The Product Rule of Differentiation - Example x^2 tan(x)
 
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In this video, we find the differential of the function x^2*tanx by considering it as a product of 2 functions, x^2 and tanx. This allows us to apply a method called the Product Rule, which helps us to find the derivative with relative ease. The product rule is defined as: d/dx(u*v) = v*du/dx + u*dv/dx Or in shorthand form: (u*v)' = vu' + uv' So if we let... u = x^2 v = tan(x) The derivatives of u and v are... du/dx = u' = 2x dv/dx = v' = sec^2(x) We can then substitute these terms according into the product rule to find the derivative of x^2*tan(x) Thanks for watching. Please give me a "thumbs up" if you have found this video helpful. Please ask me a maths question by commenting below and I will try to help you in future videos. To see the derivative of tanx, please review this video - https://www.youtube.com/watch?v=q9EgnQwQqw8
Views: 2581 MasterWuMathematics
Chain Rule For Finding Derivatives
 
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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.
A Derivative Using the Product Rule Involving a Radical - Calculus
 
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An example of applying the product rule to differentiate a function involving a radical, in this case a square root.
Views: 1106 Mr. S Math
Product Rule and Quotient Rule | MIT Highlights of Calculus
 
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Product Rule and Quotient Rule Instructor: Gilbert Strang http://ocw.mit.edu/highlights-of-calculus License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Subtitles are provided through the generous assistance of Jimmy Ren.
Views: 46269 MIT OpenCourseWare