Search results “Product and quotient rule”

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
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Khan Academy

This calculus video tutorial provides a basic introduction into the quotient rule for derivatives. It explains how to find the derivatives of fractions and rational functions. It contains plenty of examples and practice problems.
Calculus Video Playlist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
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Views: 43396
The Organic Chemistry Tutor

This calculus video tutorial explains how to find the derivative using the power rule, product rule, and quotient rule. It contain examples of using the power rule on exponents, fractions, and square root functions. It contains plenty of practice problems for you to work on.

Views: 23454
The Organic Chemistry Tutor

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.
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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: 615185
The Organic Chemistry Tutor

This calculus video tutorial provides a basic introduction into the product rule for derivatives. It explains how to find the derivative of a function that contains two factors multiplied to each other. It also explains how to use the product rule to find the derivative of a function with 3 factors. This video contains plenty of examples and practice problems.
Calculus Video Playlist:
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Views: 30920
The Organic Chemistry Tutor

© 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)
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Neha Agrawal Mathematically Inclined

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: 134512
MathReview101

MIT grad shows an easy way to use the Quotient Rule to differentiate rational functions and a shortcut to remember the formula. The calculus Quotient Rule derivative rule is one of the derivative rules for differentiation. It's used to take the derivative of a rational function. To skip ahead: 1) For an easy way to remember the Quotient Rule formula, skip to time 0:21. 2) For an example of how to use the Quotient Rule to take the derivative of a fraction or quotient of functions (rational function), skip to 1:41. This video is a basic introduction to the Quotient Rule for taking derivatives in calculus. Nancy formerly of MathBFF explains the steps.
For more help with Quotient Rule derivatives and HOW TO TAKE THE DERIVATIVE of a function using the DERIVATIVE RULES (Power Rule, Product Rule, Quotient Rule), jump to: https://youtu.be/QqF3i1pnyzU
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The Quotient Rule (calculus) tells you how to find the derivative of rational functions (a fraction, or one function divided by another function). The formal definition (textbook definition) of the Quotient Rule is often unnecessarily complex and intimidating.
There is a memory trick, or mnemonic, for how to remember the Quotient Rule formula. All you need to remember is the song "LO dee-HI minus HI dee-LO, over LO LO," where "dee" means the "derivative of." "HI" means your top function in the numerator, and "LO" means your bottom function in the denominator.
In other words, multiply the bottom function times the derivative of the top function MINUS the top function times the derivative of the bottom function, then DIVIDED by the bottom function times itself. After you differentiate the function with the Quotient Rule, remember to simplify the expression as much as possible using algebra.
This video is a basic intro to the Quotient Rule. For more of my calculus math videos and examples of taking derivatives, differentiation rules like the chain rule, differential calculus, basic calculus, integral calculus, common derivatives, and calculus problems (including Calculus 1, AP Calculus AB, AP Calculus BC, and Calculus 2), as well as precalculus and algebra math help, check out: http://nancypi.com

Views: 30999
NancyPi

Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. There are various methods of finding the derivative of a function including, direct differentiation, product rule, quotient rule, chain rule (function of a function), etc.
When given a function of the form y = f(x)/g(x), then the derivative of the function is given by y' = [g(x)f'(x) - f(x)g'(x)] / (g(x))^2. This method of differentiation is called the quotient rule. The quotient rule is used to find the derivative of a function that is a quotient of two functions.

Views: 616
Brian McLogan

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
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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: 205701
NancyPi

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Quotient Rule and Simplifying. Just a basic example of using the quotient rule and simplifying.

Views: 263208
patrickJMT

Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. There are various methods of finding the derivative of a function including, direct differentiation, product rule, quotient rule, chain rule (function of a function), etc.
When given a function of the form y = f(x)/g(x), then the derivative of the function is given by y' = [g(x)f'(x) - f(x)g'(x)] / (g(x))^2. This method of differentiation is called the quotient rule. The quotient rule is used to find the derivative of a function that is a quotient of two functions.

Views: 29053
Brian McLogan

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: 354764
patrickJMT

https://www.patreon.com/ProfessorLeonard
Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions

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Professor Leonard

Go to http://www.examsolutions.net/ for the index, playlists and more maths videos on differentiation, calculus and other maths topics.

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ExamSolutions

Long-ish example in which the Product Rule and Quotient Rule are both used, but which one should go first?

Views: 3786
GVSUmath

Product Rule and Quotient Rule
Instructor: Gilbert Strang
http://ocw.mit.edu/highlights-of-calculus
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
Subtitles are provided through the generous assistance of Jimmy Ren.

Views: 52117
MIT OpenCourseWare

Now that we know where the power rule came from, let's practice using it to take derivatives of polynomials! Furthermore, when we have products and quotients of polynomials, we can take the derivative of these as well, but we need special rules. Let's learn all the rules and practice them now!
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Professor Dave Explains

When we cover the quotient rule in class, it's just given and we do a LOT of practice with it. Hopefully all of you are wondering where it comes from...this is it. You just use the limit definition of the derivative and a little trick. Sometimes this is called finding the derivative from first principles.

Views: 33239
turksvids

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Quotient Rule to Find a Derivative + Simplifying

Views: 94845
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: 50028
Michel van Biezen

Good Short. This is a discussion of the Product and Quotient rule for radicals. The root of a product is the product of the roots and vice verse. For more math shorts go to www.MathByFives.com

Views: 20257
Mathbyfives

The product rule, quotient rule and chain rule, with these "memory devices". I will also show you 4 derivative examples.
100 derivatives examples: https://youtu.be/AegzQ_dip8k
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blackpenredpen

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: 182902
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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Khan Academy

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: 20164
Michel van Biezen

Continue learning the quotient rule by watching this harder derivative tutorial. To see all my videos on the quotient rule check out my website at http://MathMeeting.com
My name is Chris and my passion is to teach math. Learning should never be a struggle which is why I make all my videos as simple and fun as possible. I cover all subjects from basic level math through upper level calculus and statistics. I also make brain teaser, word problems, and Rubik's cube videos for fun.
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Views: 21261
Math Meeting

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: 288934
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: 72539
Michel van Biezen

Topics Covered in this Video
- Quotient Rule
- Formulas
- Example
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StayLearning

Introduction to the quotient rule, which tells us how to take the derivative of a quotient of functions.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/e/differentiate-quotients?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/v/quotient-rule-example?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-product-rule/v/product-rule-example-mixed-implicit-explicit?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
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Khan Academy

This video will show you how to do the quotient rule for derivatives. Remember to use this rule when you want to take the derivative of one function divided by another. To help remember the formula don't forget "low dee high, high dee low, over low squared." For more videos please visit http://www.mysecretmathtutor.com

Views: 117760
MySecretMathTutor

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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: 17689
BriTheMathGuy

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
The Quotient Rule for finding Derivatives - A few basic examples.
For more free math videos, visit http://PatrickJMT.com

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patrickJMT

Ms. Roshan's AP Calculus AB Videos -- Based on Stewart's Calculus: Concepts & Contexts

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Stacey Roshan

Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/equation-of-a-tangent-line?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?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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Views: 530258
Khan Academy

More resources available at www.misterwootube.com

Views: 1702
Eddie Woo

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: 23400
blackpenredpen

I work through multiple examples that need the Quotient Rule to find their derivative.
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profrobbob

Views: 38968
ProfRobBob

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: 290709
The Organic Chemistry Tutor

For free notes and practice problems, visit the Calculus course on http://www.flippedmath.com/
Lesson 3.2 Product and Quotient Rule

Views: 2122
The Algebros

Calculus 2.3 Product and Quotient Rules

Views: 2247
Nichole Maurer

Check out all of my Calculus Videos and Notes at: http://wowmath.org/Calculus/CalculusNotes.html

Views: 18673
WOWmath.org

In this Mathematics video in Hindi for class 11 and class 12 we explained and proved the quotient rule in differentiation and its formula with example.
The quotient rule states that the derivative of the quotient of two functions is the product of the derivative of the first function and the second function subtracted by the product of the first function and the derivative of the second function divided by the square of the second function.
Class 11 - Differentiation - Part 5

Views: 3125
EduPoint

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: 26101
The Organic Chemistry Tutor

This video explains how to determine the derivatives of trigonometric functions using the product and quotient rule.
http://mathispower4u.wordpress.com/

Views: 14189
Mathispower4u

Where that pesky formula for the the quotient rule comes from, thanks to a quick comment in this wonderful (as always) 3Blue1Brown video: https://www.youtube.com/watch?v=YG15m2VwSjA
The basic idea is to think of f/g as f * 1/g and just use the product, power and chain rule. The quotient rule formula emerges when you combine the resulting fractions.
Trying out a new way to make videos where I can draw and talk at the same time. As we get into deeper ML/neural net content I think drawing will help with explaining some of the concepts better. Let me know what you think about the style of these videos!
Thanks guys!

Views: 1438
giant_neural_network

Demonstrates two problems where you need to use the Quotient Rule for derivatives, where the numerators and denominators both have trigonometric functions in them.

Views: 16178
poysermath

© 2019 College Girl Secret Romance With Boy Friend In Hostel

As a child, there was a portrait in our family home in Paris that I always loved. Today, it’s known as Maya with Doll – but to me it was just a portrait of my mother, albeit a remarkable one. “Your grandfather was a painter,” she would say, whenever the subject of the canvas, one of many that hung around the house, came up in discussion. It was only when I began school, and whispers about my heritage started to follow me, that I realised what an understatement that was. My grandfather was far more than a painter. He was the defining figure of 20th-century art – and, as I would learn later from years of academic study, a true genius. It was a revelation that would shape the course of my life in many ways. When Picasso died – in 1973, the year before I was born – he left behind 45,000 works, not to mention personal objects and correspondence.