Search results “Chain and product rule”

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

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

Combining the Chain Rule with the Product Rule

Views: 9122
Teresa Hartman

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.
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Views: 626801
Khan Academy

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

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
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Khan Academy

► 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.
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Krista King

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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

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

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patrickJMT

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
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https://www.youtube.com/watch?v=-KfG8kH-r3Y
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https://www.youtube.com/watch?v=WL5_T-g3Fxw
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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

Views: 314808
The Organic Chemistry Tutor

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

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.
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3Blue1Brown

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

© 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
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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
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Neha Agrawal Mathematically Inclined

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

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
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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

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

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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blackpenredpen

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
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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

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
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#SoYouThinkYouCantTakeTheDerivatives
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blackpenredpen

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Michel van Biezen

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

Views: 363
Ashley Hodgson

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

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.

Views: 79438
The Organic Chemistry Tutor

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

Views: 170151
The Organic Chemistry Tutor

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.

Views: 136711
The Organic Chemistry Tutor

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.
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Views: 269592
Khan Academy

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

Views: 17651
The Organic Chemistry Tutor

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

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

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

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

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

Views: 23231
Khan Academy

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

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

More resources available at www.misterwootube.com

Views: 1672
Eddie Woo

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!
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INeedToPassCalculus

Views: 194
Brian McLogan

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:
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Views: 3177
The Organic Chemistry Tutor

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
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Mario's Math Tutoring

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

We combine the chain rule with the product rule and the quotient rule.

Views: 61897
MathTV

► 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.
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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
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Views: 11179
Krista King

This video explains how to find a derivative function using both the product rule and chain rule.
Site: http://mathispower4u.com

Views: 6897
Mathispower4u

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.
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Khan Academy

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