Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Please consider supporting PJMT on Patreon! https://www.patreon.com/patrickjmt?ty=c
Basic Product Rule Example #1

Views: 15379
patrickJMT

Learn the product rule of differentiation via example. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/primer_dif.html

Views: 18352
numericalmethodsguy

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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Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 656116
Khan Academy

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:
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/

Views: 15474
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.
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: 466202
The Organic Chemistry Tutor

The "product rule " for exponents states that when multiplying two powers you can add the exponents of like bases.
For example, 2x cubed times 4x cubed would equal 8x to the fourth
Again, multiply the numbers and add the exponents of the bases that are the same.

Views: 109
MooMoo Math and Science

How to use the product rule and chain rule together in solving this problem

Views: 2212
That English Mathematician

In this video I go over a useful word problem on using the product rule for derivatives in estimating the amount of phone lines a phone company needs to install in the next month.
Download the notes in my video: https://www.dropbox.com/s/71qsx78kdnn9v0y/386%20-%20Product%20Rule%20for%20Derivatives%20-%20Example%20Word%20Problem.pdf
Related Videos:
Derivative Rules - Proof of the Product Rule: http://youtu.be/EIjvGJhDAOk
Product Rule for Derivatives: Examples: http://youtu.be/_2E6UVb2d7g
Product Rule for Derivatives: Example - Simplifying Functions: http://youtu.be/l7DUz001fzg .
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Views: 2388
Math Easy Solutions

product rule and quotient rule for derivative in one problem,
derivative of x*e^x/(1+e^x)
So You Think You Can Take The Derivatives, file: https://blackpenredpen.com/calc1
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blackpenredpen | 曹老師

Views: 3844
blackpenredpen

In this video we go over an example problem that has us dealing with using the product rule to predict the probability of getting certain genotypes and phenotypes in offspring from a parental cross.
If you like this video consider subscribing to improve video quality.

Views: 5611
Christian D

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: 234330
The Organic Chemistry Tutor

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: 246115
patrickJMT

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: 393137
patrickJMT

Product rule, step by step, derivative example. For more free calculus videos visit http://MathMeeting.com.

Views: 58719
Math Meeting

This video will show you how to do the product rule for derivatives. Remember to use this rule when you want to take the derivative of two functions being multiplied by one another. For more videos please visit http://www.mysecretmathtutor.com

Views: 203960
MySecretMathTutor

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.
Website - http://MathMeeting.com
Channel Page - http://Youtube.com/MathMeeting
Facebook Page - http://facebook.com/MathMeeting
Patreon Page - http://patreon.com/MathMeeting

Views: 17541
Math Meeting

Working on derivatives in Calculus? We solve your Calculus Problems! Let us be your online Calculus Tutor! Calculate the derivative of a function that is the product of the square root of x and e^x. Sorry for the glitchy-ness on this one.

Views: 39
SolveMyMathHW

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: 124805
The Organic Chemistry Tutor

Simple monohybrid, product rule, sum rule, conditional probability.

Views: 21071
Cheryl Van Buskirk

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: 213399
The Organic Chemistry Tutor

Problem:
Find the derivative of
y = (e^x)(2^x)
a tutorial by Christina Bui
AB/IB Calculus SL

Views: 3548
FilaMentors

For more free math help visit www.TheVirtual Mathematician.com
Please feel free to leave any questions in the comments.
This video will explain the concept of how to take derivatives using the product rule, as well as two example problems, in under 3 minutes. The product rule is something we want to use in calculus whenever we are attempting to take the derivative of two functions that are multiplied together. This concept will show up again and again, so let this video show you how to handle these types of problems.

Views: 3192
The Virtual Mathematician

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
Follow Nancy on Instagram: https://instagram.com/nancypi
Twitter: https://twitter.com/nancypi
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: 18818
NancyPi

Derivatives - Product rule + Problems
Have any questions? Do post it in the comment section. :)
Subscribe to keep updated for more.

Views: 17
ScienceJedi

Donate here: http://www.aklectures.com/donate.php
Website video link: http://www.aklectures.com/lecture/sum-and-product-rule-in-genetics
Facebook link: https://www.facebook.com/aklectures
Website link: http://www.aklectures.com

Views: 23568
AK LECTURES

In Calculus, Product rule formula is used when you have to find the derivatives of products of two or more function. When three functions in multiplication, and we have to find it's derivative, then we can find it's derivative one by one.
For example :
F(x) = u •v•w
And we have to find it's derivative
Then, f'(x) =( v•w•u') + (u•w•v') + (u•v•w')
Also, know when to use product rule vs chain rule, we tried to cover product rule problems with simple product rule formula (calculus).

Views: 469
Skill Ark

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We do some problems related to the rule of product and rule of sum.
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

Views: 32097
TheTrevTutor

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: 16596
The Organic Chemistry Tutor

Here we have to use the product rule and the chain rule in breaking down this problem which has a cheeky Cosine.

Views: 58
That English Mathematician

Math for fun#8, FAKE PRODUCT RULE,
more math for fun: https://www.youtube.com/playlist?list=PLj7p5OoL6vGxe7hIWOKfevOet0e1jOezd
derivative product rule, find f and g so that the derivative of a product is the product of the derivative, math fun facts about derivative, calculus product rule, calculus derivative, hard derivative problem, hard math problem, challenging math problems, hard algebra problems, hard calculus problems,
blackpenredpen
follow me: https://twitter.com/blackpenredpen

Views: 26193
blackpenredpen

Word Application of using the Product Rule

Views: 692
Teresa Hartman

Three example problems dealing with the Product Rule for derivatives, one of which involves some tricky factoring to simplify.

Views: 2233
Derek Owens

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: 22095
The Organic Chemistry Tutor

Visit my website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Today we introduce counting, specifically introducing the Principle of Addition and Product Principle.

Views: 103735
TheTrevTutor

The product rule postulates on the probable simultaneous occurrence of two independent events while the sum rule indicates the probable occurrence of either one of two mutually exclusive events. Both rules use a mathematical formula to calculate the respective probabilities.
The sum rule is also known as the addition law or rule. It states that the probability of any one of two or more mutually exclusive events occurring is the sum of the probabilities of each individual event. This also applies to the probability where one event can occur in two or more different ways.

Views: 4493
Nikolay's Genetics Lessons

CALCULUS VIDEOS: Examples of the Product Rule

Views: 2
Kevin Pinegar

This is one of a series of video on genetics. This video will provide some complete dominance Punnett square practice problems involving the product rule. Sometimes you might be interested in finding out the probability of two traits being passed on together. The product rule is a simple way to do just that.

Views: 2933
BiologyMonk

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: 67439
Michel van Biezen

In this video I will explain a product rule calculus problem.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
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Views: 8685
Krista King

© 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!

Views: 13847
Neha Agrawal Mathematically Inclined

We do practice problems with finding derivatives using the product rule and quotient rule in calculus.
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

Views: 1007
TheTrevTutor

Working on derivatives in Calculus? We solve your Calculus Problems! Let us be your online Calculus Tutor! Derivative of a function presented as the product of two functions using the power rule by multiplying the functions together first. Derive using product rule to show the difference in methods. www.ThisHWSucks.com

Views: 4
SolveMyMathHW

Chain rule helps us to differentiate "composite function". In other words, according to chain rule the derivative of f[g(x)] = f'[g(x)] • g'(x)
For example : Cos(logx) is a composite function because it can be constructed as f[g(x)] for f(x)= Cos x and g(x) = log x
Also, know when to use chain rule vs product rule, we tried to cover chain rule problems with simple chain rule formula and double chain rule formula (calculus).

Views: 444
Skill Ark

This video explains the Product Rule for Counting. It has several different examples and is ideal for students preparing for the 9-1 GCSE.

Views: 29058
corbettmaths