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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.
Today we introduce counting, specifically introducing the Principle of Addition and Product Principle.

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TheTrevTutor

This lecture describes how to count sets using some simple rules called sum rule and product rule

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GATEBOOK Video Lectures

We introduce the rule of sum (addition rule) and rule of product (product rule) in counting.
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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.

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TheTrevTutor

Topics Covered in this Video
- Product Rule
- Examples
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StayLearning

The direct product is a way to combine two groups into a new, larger group. Just as you can factor integers into prime numbers, you can break apart some groups into a direct product of simpler groups.
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Socratica

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JWH226

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JWH226

This video explains how to apply the product rule of differentiation to find the derivative of a function that is given as a product of two quadratic functions.
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Mathispower4u

Problem involving the Product Rule of Probability with independent events

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lbowen11235

School made easy. Product rule made easy. Plenty of examples. For more please check out my channel.

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Easyschool22

Views: 45
JWH226

The difference between the Sum and Product rules

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Alison Weber

Venn diagrams and the addition rule for probability
Practice this lesson yourself on KhanAcademy.org right now:
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Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it!
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Khan Academy

Webcast produced by the Learning Enhancement Team at the University of East Anglia

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Pieta Coffee Shop

In this mathematica tutorial you will learn about calculus, derivatives of functions of one variable, and how to use the chain rule and the product rule of differentiation in a way that you can check your work using mathematica or Wolfram alpha.
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Sam Hambleton

Using the product rule of limits and L'Hopital's Rule to evaluate limits of functions of two variables.

Views: 231
Catherine Schmurr

Math project by Jackson Walker

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Jack Walker

This video shows how to use the "four sets of parentheses" method for doing product rule problems very fast once you have learned how to do them slowly. Derivatives, differentiation.
Check out the full course website: http://www.bmacalculus.net

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BMAPhysics

GCD, LCM 0:00
RSA RECAP 5:50
PRIMALITY TEST W/ FERMAT CONVERSE 14:00
SETS BASICS, OPERATIONS 41:40
SETS CARTESIAN PRODUCT 1:06:40
PRODUCT RULE 1:11
SUM RULE 1:17:25
INCLUSION-EXCLUSION, phi(pq) 1:21

Views: 53
Virgil Pavlu Teaching

First video for Discrete math 2.
Introduction to counting.
Rule of Sum and Product.
Please rate, comment and subscribe.

Views: 26389
CourseHack

How to create a Package , RAP rule in PEGA for deployment
Pega Training CSA ,CSSA , CPBA , CPDC , PEGA Robotics(OPENSPAN ) latest 7.4
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Learn Earn & Fun

Discrete Mathematics - The Basics of Counting :The Product Rule -Judemy bangla
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Judemy

This genetics lecture explains How to solve genetics probability problems with simpler and easy tricks and this video also explains when to use addition or multiplication rule to solve probability problems in genetics.
So watch this video lecture to learn how to solve genetics problems with probability and risk calculations using addition and multiplication rule.
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Thank you for watching the genetics lecture on How to solve genetics probability problems.

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Shomu's Biology

This lecture covers the concept of sum rule and product rule in basic counting

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PacketPrep

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We introduce the concept of injective functions, surjective functions, bijective functions, and inverse functions.
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: 237949
TheTrevTutor

Discrete Mathematics
Week 05
Lecture 01 - Product Rule
https://discrete-math.appspot.com/
বিচ্ছিন্ন গণিত
পঞ্চম সপ্তাহ
লেকচার ০১ - প্রোডাক্ট রুল
Click Here to Order your copy of the DVD: http://bit.ly/DiscreteMathDVD

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দ্বিমিক কম্পিউটিং - Dimik Computing

Two quick examples of the Product Rule in action, and one example where you should NOT use the Product Rule.

Views: 3296
GVSUmath

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

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patrickJMT

http://dovoin-lc.com
This example will show you how to apply the product rule in order to differentiate a polynomial function given in factored form, or as a product of two or more expressions. So not only can you apply the product rule for a product of two expressions but as many as you have to. If only for that reason and you might want to check this example out.

Views: 481
TheDovoin

Here's an interesting example to understand what independent events are. To view more interesting videos about Probability, please visit https://DontMemorise.com
Don’t Memorise brings learning to life through its captivating FREE educational videos.
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Don't Memorise

Additional Mathematics Secondary 3/4
Simple Differentiation - Differentiation Using the Product Rule
Presented by: Mr Chok, Master Maths Tutor of KentRidge Tuition Centre
Produced by: Tuittor.com

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tuittor

Step-by-step guide to applying the product rule for a composite function with three functions.

Views: 348
Maths For Civil Engineers

If you have problems sets that you would like solved, let me know at https://benkphysics.com/
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Ben Kohn

On this episode, we present combinatorics for computer science and discrete mathematics for computer science, rule of sum and product...
About Discrete Math
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic[1] – do not vary smoothly in this way, but have distinct, separated values.[2] Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets[3] (sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers). However, there is no exact definition of the term "discrete mathematics."[4] Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions

Views: 2067
Deliberate Think

When the sample space is a disjoint union of two sets, the number of events is just the sum of the number for each of those two subsets.
This video is part of a Discrete Math course taught by Dr. Trefor Bazett at the University of Cincinnati.

Views: 1672
Trefor Bazett

If you have problems sets that you would like solved, let me know at https://benkphysics.com/
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Ben Kohn

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: 29250
corbettmaths

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: 171821
NancyPi

Link of an App https://play.google.com/store/apps/de...
Website www.rbclasses.in
How to use App https://www.youtube.com/watch?v=AeUTC...
limit and derivatives: https://www.youtube.com/watch?v=YSs0-Sxc4gU&list=PLcWcbMyDDiuT_FIolTAehBsqng_hq8j7O
Chapter 10 Straight lines
https://www.youtube.com/playlist?list=PLcWcbMyDDiuQ5HplP6JFrRpkxIB3hKHpj
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Chapter 8 Binomial Theorem https://www.youtube.com/playlist?list=PLcWcbMyDDiuRIttVq-Kr4Oexb8HsYy1OF
Chapter 7 Permutation and Combination https://www.youtube.com/playlist?list=PLcWcbMyDDiuQmKOoKV-SSbB19Ltlk_8PT
Chapter 6 Linear equalities https://www.youtube.com/playlist?list=PLcWcbMyDDiuSziBLgwxYEi9UYI0d1u17F
Chapter 5 Complex number https://www.youtube.com/playlist?list=PLcWcbMyDDiuTsjQAOF57zHUgHz6f-FIWX
Chapter 4 PMI https://www.youtube.com/playlist?list=PLcWcbMyDDiuRYgI5JqMzK6CXDmN2V9Kfw
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R B Gautam
R B Classes
Mathura UP
9411990768,9058347366
#rbclasses

Views: 1884
R B Classes

Views: 81
Anil Kumar

Addition Rule
Disjoint Events
Venn Diagrams
P(A or B)
P(A and B)

Views: 645
Kelly Sjerven

Product rule, quotient rule, chain rule computation for graphs

Views: 316
Daniel An

Views: 13
Raven Evaristo

Hello friends, In this video Differentiation (Derivative) by product Rule is explained by Dinesh sir in a very simple manner in 6 parts as per exercise. Watch all parts video. Link are given below...
Ex. 3 Part 6 Differentiation (Derivatives) Class 11 Maths
https://youtu.be/rNNQTLMreaY
Ex. 1 Part 1 Differentiation (Derivatives) Class 11 Maths
https://youtu.be/_LGK4Mm0T1k
Ex. 1 Part 2 Differentiation (Derivatives) Class 11 Maths
https://youtu.be/R4q46MvyrdE
Part 3 Basic Formulae of Differentiation (Derivatives) Class 11 Maths
https://youtu.be/4EI2TMzscGE
Ex. 2 Part 4 Differentiation (Derivatives) Class 11 Maths
https://youtu.be/STroWIuInC0
Ex. 3 Part 5 Differentiation (Derivatives) Class 11 Maths
https://youtu.be/EIspYMspcBQ
Thanks for watching this video......#dineshsir
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Dinesh Sir

Views: 113
Math Forge