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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: 368768 patrickJMT
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: 51256 Michel van Biezen
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: 133275 Khan Academy
3: Combining the Chain Rule with the Product Rule
 
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Combining the Chain Rule with the Product Rule
Views: 7264 Teresa Hartman
Product Rule, Chain Rule and Factoring - Ex 2
 
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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 !! Product Rule, Chain Rule and Factoring- Ex 2. In this video, I use the product rule and the chain rule to find a derivative and then use some algebra to clean it up!
Views: 182161 patrickJMT
❤︎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: 991096 mathbff
Reverse chain rule introduction
 
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Reverse chain rule introduction More free lessons at: http://www.khanacademy.org/video?v=X36GTLhw3Gw
Views: 165063 Khan Academy
Chain rule with the power rule
 
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Chain rule with the power rule
Views: 23969 Khan Academy
Implicit differentiation, product and chain rules at once
 
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Implicit differentiation, product and chain rules at once
Views: 21992 Khan Academy
Chain rule for derivatives, with product rule (KristaKingMath)
 
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► My Derivatives course: https://www.kristakingmath.com/derivatives-course Learn how to use the chain rule to calculate the derivative of the product of two functions. To use chain rule, you'll need to identify an inside and outside function. When you take the derivative of the function in general, you'll take the derivative of the outside function first, leaving the inside function completely untouched, then you'll multiply your result by the derivative of the inside function. ● ● ● 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: 111963 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: 16704 blackpenredpen
Calculus - Derivatives - Quotient-Product Chain Rule (2 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: 37986 Michel van Biezen
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
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.
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: 26186 Khan Academy
Calculus 4.3 - Chain Rule w/ Product Rule
 
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Finding the derivative of a function made up of a product and a composite function
Views: 1240 Matthew Johnson
Visualizing the chain rule and product rule | Essence of calculus, chapter 4
 
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A visual explanation of what the chain rule and product rule are, and why they are true. Check out Brilliant: https://brilliant.org/3b1b Full series: http://3b1b.co/calculus Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced. http://3b1b.co/support Special thanks to the following Patrons: http://3b1b.co/eoc4-thanks ------------------ 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: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 311176 3Blue1Brown
Calculus - Chain Rule & Product Rule Examples
 
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Using the chain and product rules together to find a derivative and then reducing to find zeros by factoring our greatest common factor
Views: 1730 DrCraigMcBridePhD
Chain rule for derivative, with product rule
 
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Chain rule for derivative, with product rule Check out my site & social media www.blackpenredpen.com https://twitter.com/blackpenredpen https://www.instagram.com/blackpenredpen/ Thank you for watching! Please subscribe and share my videos to help my channel grow! blackpenredpen
Views: 1733 blackpenredpen
Differences Between the Power Rule & the Chain Rule in Calculus : Calculus Explained
 
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Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow The power rule and the chain rule have some very important differences that you'll need to know when attempting to find the derivative of a function. Learn the differences between the power rule and the chain rule with help from an experienced math tutor in this free video clip. Expert: Ryan Malloy Filmmaker: Patrick Russell Series Description: Calculus is a more advanced mathematical topic than others, so feeling a little overwhelmed from time to time is only natural. Get an explanation for a wide variety of different calculus terms and situations with help from an experienced math tutor in this free video series.
Views: 6812 eHow
Derivatives of Composite Functions: The Chain Rule
 
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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. Subscribe: http://bit.ly/ProfDaveSubscribe [email protected] http://patreon.com/ProfessorDaveExplains http://professordaveexplains.com http://facebook.com/ProfessorDaveExpl... http://twitter.com/DaveExplains Mathematics Tutorials: http://bit.ly/ProfDaveMaths Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio American History Tutorials: http://bit.ly/ProfDaveAmericanHistory
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
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!
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: 324524 patrickJMT
Differentiating with Product & Chain Rule (example question)
 
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More resources available at www.misterwootube.com
Views: 1544 Eddie Woo
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
Applying the chain rule twice | Advanced derivatives | AP Calculus AB | Khan Academy
 
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Worked example applying the chain rule twice. 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-second-derivatives/v/second-derivatives?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/applying-the-chain-rule-and-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: 17658 Khan Academy
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: 75017 MathReview101
Calculus - Derivatives - Quotient-Product Chain Rule (3 of 4)
 
04:09
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: 16546 Michel van Biezen
Derivative Shortcuts: All You Need to Know (Power/Product/Quotient/Chain/Trig/Exponential/Log/Rules)
 
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►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithemathguy Derivative Shortcuts will stay with you as long as you take high level math classes. These are absolutely essential to you success in calculus! Here are all the differentiation rules you need to know: Power Rule, Product Rule, Quotient Rule, Chain Rule, Trig Rules, Exponential Rules, Logarithm Rules.
Views: 7820 BriTheMathGuy
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.
Calculus - Derivatives - Quotient-Product Chain Rule (4 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: 14958 Michel van Biezen
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: 599098 Khan Academy
Derivatives of Composite Functions - Chain Rule, Product & Quotient Rule - Calculus Review
 
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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. Here is a list of topics: 1. Product Rule - Derivative of x^2e^x and x^4 sinx 2. Derivative of Exponential and Trigonometric Functions 3. Product Rule - f(x)g(x)h(x) 4. Quotient Rule Derivative of Fractions and Rational Functions 5. Derivative of Radical Functions and The Square Root of X 6. Chain Rule - Derivative of Composite Functions h(x) = f(g(x)) 7. f'(g(x))g'(x) 8. dy/dx = dy/du and du/dx 9. Chain Rule with Trigonometric Functions - sine, cosine, tangent and secant - sin, cos, tan, sec 10. Evaluating Derivatives of Composite functions using a table of data
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: 23382 Khan Academy
Finding the second derivative of a composite function using Chain rule and Product rule
 
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Thanks to a subscriber for asking this question. This is a differentiation practice question for calculus that involves finding the second derivative of a function. You will need to understand the chain rule and the product rule before attempting this question. Have fun :)
Views: 4284 Magic Monk
Taking the derivative of two binomials using product and chain rule
 
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Subscribe! http://www.freemathvideos.com Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students learn math but allow teachers the resources to flip their classrooms and allow more time for teaching within the classroom. Please feel free to share my resources with those in need help. #Calculus #derivatives
Views: 342 Brian McLogan
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: 263029 Khan Academy
HOW TO CHOOSE CHAIN RULE vs. PRODUCT RULE | Calculus Derivatives
 
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Here's some practice for choosing between the chain rule and product rule when the problem doesn't tell you which rule to use (like in a unit exam or final exam). If you're studying for a test on derivatives and you don't know which differentiation rules to use to take the derivative of a given function, check out these eight practice problems for identifying whether to use the chain rule or the product rule. Good luck! www.INeedToPassCalculus.com
MATHS-XII-5-06 Chain rule for differentiation(2016)   Pradeep Kshetrapal channel
 
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Mathematics, Class:XII Chapter: differentiation Topic: Chain rule for differentiation Classroom lecture by Swati Mishra Language : English mixed with Hindi.
Views: 69218 Pradeep Kshetrapal
Video 15 Product, Quotient, and Chain Rule
 
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Proof of the product, quotient and chain rules.
Views: 489 Buisiness Calculus
Chain rule combined with power rule (KristaKingMath)
 
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► My Derivatives course: https://www.kristakingmath.com/derivatives-course People often think that chain rule has to be applied only in specific instances while taking the derivative. In fact, chain rule must always be applied, to every derivative. Sometimes applying chain rule just means multiplying by 1, which of course has no effect on the derivative, which is why it looks like chain rule is sometimes not applied. Since chain rule is always applied, to every derivative, you'll very often have to use it in combination with power rule, product rule, or quotient rule. Power rule is the tool you use to take the derivative of power functions, and when the base of the power function is anything other than just "x", you must apply chain rule and multiply by the derivative of the base, which is the "inside" function. Remember that chain rule in general tells you to take the derivative of the outside function first, leaving the inside function completely untouched, and then to multiply your result by the derivative of the inside function. ● ● ● 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: 9912 Krista King
Ex: Derivative using the Product Rule and Chain Rule -- Product of Polynomials to Powers
 
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This video explains how to find a derivative function using both the product rule and chain rule. Site: http://mathispower4u.com
Views: 6578 Mathispower4u
A Derivative Using the Product and Chain Rules with a Radical #1
 
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This is an example of finding the derivative of a product which includes a radical factor requiring the chain rule to differentiate. Another problem of this type can be found at https://youtu.be/GgxcEPXpShM
Views: 993 Mr. S Math
Chain Rule with Trig Functions
 
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How to apply the chain rule with trig functions
Views: 113393 Joel Prestigiacomo
Differentiating functions to a power using the chain 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: 147771 ExamSolutions
Ex: Derivative using the Product Rule and Chain Rule - Product of Polynomials to Powers
 
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This video explains how to find a derivative function using both the product rule and chain rule.
Views: 1229 Mathispower4u