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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: 383136 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: 59707 Michel van Biezen
3: Combining the Chain Rule with the Product Rule
 
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Combining the Chain Rule with the Product Rule
Views: 9122 Teresa Hartman
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: 626801 Khan Academy
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: 186219 patrickJMT
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: 135168 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: 115564 Krista King
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: 7769 eHow
Finding a derivative using the Product and Chain Rule, then 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 !! Finding a derivative using the Product and Chain Rule, then simplifying For more free math videos, visit: http://justmathtutoring.com and click on the 'Free Video Lessons' tab on the left! Just Math Tutoring
Views: 7031 patrickJMT
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. Understand Calculus In 35 Minutes: https://www.youtube.com/watch?v=WsQQvHm4lSw Basic Integration Rules: https://www.youtube.com/watch?v=WDZMjYJyH6k Intro To Chemistry: https://www.youtube.com/watch?v=-KfG8kH-r3Y Intro To Physics: https://www.youtube.com/watch?v=WL5_T-g3Fxw Epic Music Mix: https://www.youtube.com/watch?v=qeljbZhx9bY Excel Tutorial For Beginners: https://www.youtube.com/watch?v=nK-uNYuvcag How To Receive Tutoring and Get Paid At The Same Time: https://www.youtube.com/watch?v=J8A8JTpOWCQ How To Lose Weight Fast! https://www.youtube.com/watch?v=cC4FUSZunsY 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 (3 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: 18566 Michel van Biezen
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: 366613 3Blue1Brown
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: 338489 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!
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: 42872 Michel van Biezen
The Chain Rule... How? When? (NancyPi)
 
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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: https://instagram.com/nancypi Twitter: https://twitter.com/nancypi 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: http://nancypi.com
Views: 68297 NancyPi
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: 26134 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: 94375 MathReview101
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: 1820 blackpenredpen
Derivatives... How? (NancyPi)
 
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MIT grad shows how to find derivatives using the rules (Power Rule, Product Rule, Quotient Rule, etc.). To skip ahead: 1) For how and when to use the POWER RULE, constant multiple rule, constant rule, and sum and difference rule, skip to time 0:22. 2) For the PRODUCT RULE, skip to 7:36. 3) For the QUOTIENT RULE, skip to 10:53. For my video on the CHAIN RULE for finding derivatives: https://youtu.be/H-ybCx8gt-8 For my video on the DEFINITION of the derivative: https://youtu.be/-ktrtzYVk_I Nancy formerly of MathBFF explains the steps. For more of the QUOTIENT RULE and a shortcut to remember the formula, jump to my video at: https://youtu.be/jwuiVb84Xx4 For Follow Nancy on Instagram: https://instagram.com/nancypi Twitter: https://twitter.com/nancypi What is the derivative? It's a function that gives you the instantaneous rate of change at each point of another function. You can calculate the derivative with the definition of the derivative (using the limit), but the fastest way to find the derivative is with shortcuts such as the Power Rule, Product Rule, and Quotient Rule: 1) POWER RULE: If the given equation is a polynomial, or just a power of x, then you can use the Power Rule. For a term that's just a power of x, such as x^4, you can get the derivative by bringing down the power to the front of the term as a coefficient and decreasing the x power by 1. For example, for x^4, the derivative is 4x^3. If you have many terms added or subtracted together, and if they are powers of x, you can use the Power Rule on each term (by the Sum and Difference Rules). NOTE: The derivative of a constant, just a number, is always 0 (that is the Constant Rule). Also, if you have a term that is a constant multiplied in the front of the term, like 2x^3, you can keep the constant and differentiate the rest of the term. In this example, you keep the 2 and take the derivative of x^3, which is 3x^2, so the derivative of the term 2x^3 is 2*3x^2, or 6x^2. ANOTHER NOTE:You can use the same power rule method for fractional or negative powers, but be careful... for negative powers, it works as long as x is not 0, and for fractional/rational powers, if the power is less than 1, your derivative won't be defined at x = 0. 2) PRODUCT RULE: If your equation is not a polynomial but instead has the overall form of one expression multiplied by another expression, then you can use the Product Rule. The Product Rule says that the derivative of two functions multiplied together is equal to the first function times the derivative of the second function, plus the second function times the derivative of the first function. 3) QUOTIENT RULE: If your equation has the overall form of one expression divided by another expression, then you can use the Quotient Rule. The Quotient Rule says that the derivative of one function divided by another (a quotient) is equal to the bottom function times the derivative of the top bottom minus the top function times the derivative of the bottom function, all divided by the bottom function squared. This is true as long as the bottom function is not equal to 0. For more of my math videos, check out: http://nancypi.com
Views: 60502 NancyPi
Remembering the derivatives rules (product, quotient & chain rules)
 
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So you dont think you can take the derivative? Well, give these a try!!! Let me showed you what I learned my first students 10 years, I call those "my memory devices for Product, Quotient and Chain rules" for taking the derivatives. And I will also show you 4 derivative examples. Enjoy! So you think you can take the derivative (Product Rule, Quotient Rule, Chain Rule), handout here: https://blackpenredpen.com/calc1 Please subscribe and share my videos to help my channel grow! 😃 Comment #YAY down below & your comment might be featured in my future videos!!! My simple setup: 😃 https://youtu.be/IKk7k-CMttE , Check out my site & social media 😃 www.blackpenredpen.com 😃 [email protected] 😃 https://twitter.com/blackpenredpen 😃 https://www.instagram.com/blackpenredpen/ Thank you for watching! blackpenredpen | 曹老師 #SoYouThinkYouCantTakeTheDerivatives #CalculusLesson
Views: 3088 blackpenredpen
Calculus - Derivatives - Quotient-Product Chain Rule (4 of 4)
 
11:56
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: 16880 Michel van Biezen
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: 31119 Khan Academy
Chain rule inside product rule with rational powers
 
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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 (funtion 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.
Views: 169 Brian McLogan
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.
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
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.
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: 269592 Khan Academy
Derivatives of Composite Functions - Chain Rule, Product & Quotient Rule - Calculus Review
 
01:01:03
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
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: 5205 Magic Monk
An Example Derivative Using the Product and Chain Rules with a Radical
 
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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/jqCfbxUWy0c
Views: 966 Mr. S Math
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: 629 Maths with Jay
How to use the chain rule with a square root
 
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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 (funtion 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.
Views: 16467 Brian McLogan
Chain rule with the power rule
 
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Chain rule with the power rule
Views: 25989 Khan Academy
Ex 5:  Determine Higher Order Derivatives Requiring the Product Rule and Chain Rule
 
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This video provides an example of how to determine the first and second derivative of function that requires the chain rule and product rule. Complete Video List at http://www.mathispower4u.com
Views: 6378 Mathispower4u
Implicit differentiation, product and chain rules at once
 
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Implicit differentiation, product and chain rules at once
Views: 23231 Khan Academy
Taking the derivative of two binomials using product and chain rule
 
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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 (funtion 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.
Views: 817 Brian McLogan
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: 1436 Mr. S Math
Differentiating with Product & Chain Rule (example question)
 
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More resources available at www.misterwootube.com
Views: 1672 Eddie Woo
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 EQUIPMENT I USE (Amazon Affiliate Links) …FOR FILMING… Small, inexpensive, super useful flexible smartphone tripod Arkon tripod mount https://amzn.to/2PtA4vR iPhone 8 Plus https://amzn.to/2BwIqQd iPhone 6 Plus (when I’m filming a scene where I’m also using my phone) https://amzn.to/2wlDR5E …SOUND… External mic when I want better sound than the iPhone: Rode Podcaster Mic (and shock mount) https://amzn.to/2Pr7WJq Great for accurate sound and noise-cancelling on flights & train rides Bose QuietComfort 35 headphones https://amzn.to/2Bs0bQJ …EDITING… Editing, sound mixing, uploading: MacBook Pro 15” screen https://amzn.to/2LeLKyT Very protective fabric & foam laptop sleeve Tomtoc laptop case/cover https://amzn.to/2MJeXae
How to use the product rule then chain rule with secant
 
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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 (funtion 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.
Views: 194 Brian McLogan
Simplifying Derivatives
 
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This calculus video tutorial provides a basic introduction into simplifying derivatives by factoring the greatest common factor. It explains how to find the derivative using the product rule and the chain rule and how to simplify it from there. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
Chain Rule Derivative (Formula with Examples)
 
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How to use the chain rule when taking derivatives. We go through some examples in this free math video tutorial by Mario's Math Tutoring. We discuss 2 methods for using the chain rule. The first method involves using a u-substitution and the second method shown is a quicker shortcut you can use. 0:25 What is the Chain Rule and How To Use 0:41 Example 1 y=(3x-2)^3 Take Derivative Using a U Substitution 2:16 Shortcut for Chain Rule 2:56 Example 2 Take the Derivative of y=cos(2x) 3:21 Example 3 Take Derivative of ((2x-5)/(3x^2))^4 4:31 Example 4 Take Derivative of y=(tan(3x))^2 Related Videos: Quotient Rule Derivative https://youtu.be/7TXDubwGOSk Product Rule Derivative https://youtu.be/QeOTfHLG13c Looking to raise your math score on the ACT and new SAT? Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at http://mariosmathtutoring.teachable.com For online 1-to-1 tutoring or more information about me see my website at: http://www.mariosmathtutoring.com * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) http://www.mariosmathtutoring.com/free-math-videos.html
Calc I: Using both Chain Rule and Quotient Rule in same problem.
 
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Demonstrates how to find the derivative of (9x / 4x + 1)^6. Both the Chain Rule and the Quotient Rule are used in this example, as well as a calculator to find a large coefficient.
Views: 22979 poysermath
Calculus: Chain Rule 3
 
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We combine the chain rule with the product rule and the quotient rule.
Views: 61897 MathTV
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: 11179 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: 6897 Mathispower4u
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: 88688 Khan Academy

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