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Power of a Product Rule
 
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Power or a Product Rule http://www.screenr.com/14g7
Views: 8049 GaBrielle Mallet
Product of Powers Examples (8 Exponent Rules series)
 
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Several worked-out examples for the Product of Powers rule.
Views: 7540 MathWOEs
Power Rule, Product & Quotient Rule - Exponents, Fractions, Square Roots - Derivatives & Calculus
 
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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.
Power rule | Derivative rules | AP Calculus AB | Khan Academy
 
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Sal introduces the power rule, which tells us how to find the derivative of x_. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-power-rule/e/power-rule-intro?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-poly-diff/v/derivative-properties-and-polynomial-derivatives?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-basic-diff-rules/v/derivative-properties-example?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: 494505 Khan Academy
Product Rule for Exponents
 
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This is the product rule for exponents. The derivation and several examples are presented for multiplying terms with the same base.
Views: 25777 Mathbyfives
Product and Power Rules for Exponents
 
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http://www.greenemath.com/ http://www.facebook.com/mathematicsbyjgreene In this lesson, we learn how about the product rule for exponents. This tells us to add the exponents when we are multiplying two expressions in exponent form with the same base. We also learn and practice the power rules for exponents.
Views: 3098 GreeneMath.com
Power Rule... How? (NancyPi)
 
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MIT grad shows how to find the derivative using the Power Rule, one of the derivative rules in calculus. It is a shortcut for taking derivatives of polynomial functions with powers of x. To skip ahead: 1) For HOW and WHEN to use the power rule, skip to time 0:22. 2) For how to use the power rule when you have a FRACTIONAL or NEGATIVE POWER, skip to 5:22. For my video on the other differentiation rules, PRODUCT RULE and QUOTIENT RULE, skip to https://youtu.be/QqF3i1pnyzU?t=456 Nancy formerly of mathbff explains the steps: For how to differentiate using the formal LIMIT DEFINITION of the derivative instead, jump to https://youtu.be/-ktrtzYVk_I?t=628 Support Nancy on Patreon: https://www.patreon.com/nancypi Follow Nancy on Instagram: https://instagram.com/nancypi Follow Nancy on Twitter: https://twitter.com/nancypi HOW and WHEN to use the 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 (Constant Multiple Rule). 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. The derivative is 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, see https://youtu.be/-ktrtzYVk_I?t=628), but the fastest way to find the derivative is with shortcuts such as the Power Rule, Product Rule, and Quotient Rule. For my video on the CHAIN RULE for finding derivatives, jump to https://youtu.be/H-ybCx8gt-8 For more math help and videos, check out: http://nancypi.com Editor: Miriam Nielsen of zentouro https://www.youtube.com/zentouro Director: Kristopher Knight https://kristopherknight.com
Views: 11236 NancyPi
Derivatives - Power, Product, Quotient and Chain Rule - Functions & Radicals - Calculus Review
 
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This calculus video tutorial shows you how to find the derivative of any function using the power rule, quotient rule, chain rule, and product rule. It shows you how to differentiate polynomial, rational functions, trigonometric functions, inverse functions, exponential equations and logarithmic functions. It's a nice review of calculus in preparation for your next test or exam. Understand Calculus In 35 Minutes: https://www.youtube.com/watch?v=WsQQvHm4lSw Basic Integration Rules: https://www.youtube.com/watch?v=WDZMjYJyH6k Intro To Chemistry: https://www.youtube.com/watch?v=-KfG8kH-r3Y Intro To Physics: https://www.youtube.com/watch?v=WL5_T-g3Fxw Epic Music Mix: https://www.youtube.com/watch?v=qeljbZhx9bY Excel Tutorial For Beginners: https://www.youtube.com/watch?v=nK-uNYuvcag How To Receive Tutoring and Get Paid At The Same Time: https://www.youtube.com/watch?v=J8A8JTpOWCQ How To Lose Weight Fast! https://www.youtube.com/watch?v=cC4FUSZunsY Here's a list of topics covered in this review of derivatives: 1. How To Find The Derivative of a Constant 2. How To Calculate The Derivative Using The Power Rule on a Monomial or Polynomial 3. Derivative of Fractions and Negative Exponents 4. Derivative of Radicals and Fractional Exponents 5. Derivative of Trigonometric Functions - Sine, Cosine, Tangent, Cotangent, Secant, and Cosecant 6. Derivative of Natural Logarithms / Logs 7. Derivatives of Logarithms 8. Derivatives of Exponential Functions - e^x or a^x 9. Logarithmic Differentiation 10. Product Rule, Quotient Rule, and Chain Rule 11. Implicit Differentiation 12. How To Differentiate With Respect to Another Variable Such as y or time for related rate problems 13. How To Find The Derivative of an Inverse Function 14. How To Find The Derivative Using Limits - Radicals, Fractions, Exponents & Factoring Here's a list of problems covered in this video: 1. 5, 8, pi, pi^e, 4e 2. x^2, x^3, x^4, x^5 3. 4x^5, 7x^6, 8x^3 4. 4x^3 + 8x^2 - 7x + 6 5. 5x, 8x, 12x, x^1 6. 1/x^2, 1/x^3, 1/x^5, 7/x^6 7. sqrt(x), cube root(x^4), x^(3/7) 8. 8x^5 - 3/x^3 + x^(4/5) 9. sin(x), cos(x^3), tan(x^4), sec(7x), cot(x^4), csc(x^3+x^2) 10. ln(x), ln(x^2), ln(x^4-x^3), ln(sinx) 11. log5(x^3+x^2), log4(x^3) 12. e^x, e^2x, e^3x, e^x^2, e^tanx 13. 5^x, 7^x^2, 8^x^3, x^3, 3^x, x^x, x^sinx 14. (x^2)(sinx), x^3ex^2, x^4lnx 15. (x^3+6x)/(5x-8), (x^3+7x^2)/12x^5, sin(x^4), (x^3+5x^2)^4 16. tan(sinx^4), sin^3(cos(tanx^5)) 17. x^3+y^3=8, x^2+2xy+y^2=7, tan(xy)=7
Power Rule for Exponents
 
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Power raised to a power you multiply. This video explains the power rule for exponents and is followed by a few examples. for more math shorts go to www.MathByFives.com
Views: 36020 Mathbyfives
Derivatives... How? (NancyPi)
 
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MIT grad shows how to find derivatives using the rules (Power Rule, Product Rule, Quotient Rule, etc.). To skip ahead: 1) For how and when to use the POWER RULE, constant multiple rule, constant rule, and sum and difference rule, skip to time 0:22. 2) For the PRODUCT RULE, skip to 7:36. 3) For the QUOTIENT RULE, skip to 10:53. For my video on the CHAIN RULE for finding derivatives: https://youtu.be/H-ybCx8gt-8 For my video on the DEFINITION of the derivative: https://youtu.be/-ktrtzYVk_I Nancy formerly of MathBFF explains the steps. For more of the QUOTIENT RULE and a shortcut to remember the formula, jump to my video at: https://youtu.be/jwuiVb84Xx4 For Follow Nancy on Instagram: https://instagram.com/nancypi Twitter: https://twitter.com/nancypi What is the derivative? It's a function that gives you the instantaneous rate of change at each point of another function. You can calculate the derivative with the definition of the derivative (using the limit), but the fastest way to find the derivative is with shortcuts such as the Power Rule, Product Rule, and Quotient Rule: 1) POWER RULE: If the given equation is a polynomial, or just a power of x, then you can use the Power Rule. For a term that's just a power of x, such as x^4, you can get the derivative by bringing down the power to the front of the term as a coefficient and decreasing the x power by 1. For example, for x^4, the derivative is 4x^3. If you have many terms added or subtracted together, and if they are powers of x, you can use the Power Rule on each term (by the Sum and Difference Rules). NOTE: The derivative of a constant, just a number, is always 0 (that is the Constant Rule). Also, if you have a term that is a constant multiplied in the front of the term, like 2x^3, you can keep the constant and differentiate the rest of the term. In this example, you keep the 2 and take the derivative of x^3, which is 3x^2, so the derivative of the term 2x^3 is 2*3x^2, or 6x^2. ANOTHER NOTE:You can use the same power rule method for fractional or negative powers, but be careful... for negative powers, it works as long as x is not 0, and for fractional/rational powers, if the power is less than 1, your derivative won't be defined at x = 0. 2) PRODUCT RULE: If your equation is not a polynomial but instead has the overall form of one expression multiplied by another expression, then you can use the Product Rule. The Product Rule says that the derivative of two functions multiplied together is equal to the first function times the derivative of the second function, plus the second function times the derivative of the first function. 3) QUOTIENT RULE: If your equation has the overall form of one expression divided by another expression, then you can use the Quotient Rule. The Quotient Rule says that the derivative of one function divided by another (a quotient) is equal to the bottom function times the derivative of the top bottom minus the top function times the derivative of the bottom function, all divided by the bottom function squared. This is true as long as the bottom function is not equal to 0. For more of my math videos, check out: http://nancypi.com
Views: 86564 NancyPi
Differentiation Rules - Power/Product/Quotient/Chain
 
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This video tutorial outlines 4 key differentiation rules used in calculus, The power, product, quotient, and chain rules. The general form and examples of each are shown.
Views: 104324 MathReview101
Powers of products & quotients (integer exponents) | Mathematics I | High School Math | Khan Academy
 
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For any integers a and b and for any exponents n, (a⋅b)ⁿ=aⁿ⋅bⁿ and (a/b)ⁿ=aⁿ/bⁿ. These are worked examples for using these properties with integer exponents. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-radicals/v/introduction-to-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-exp-prop-review/v/multiplying-and-dividing-powers-with-integer-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. 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 Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 185343 Khan Academy
Calculus - Derivatives - Quotient-Product Chain Rule (1 of 4)
 
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Visit http://ilectureonline.com for more math and science lectures! This video is part of an eight 8 part lecture series on derivatives. Different algebraic expressions require different techniques in order to discover their derivation. I encourage you to watch the whole series and familiarize yourself with each technique as calculus is the key to understanding pretty much everything about the world!
Views: 63320 Michel van Biezen
Derivatives - Product + Chain Rule + Factoring
 
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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Derivatives - Product + Chain Rule + Factoring - A quick example for a friend out there in internet land! For more free math videos, check out http://PatrickJMT.com
Views: 387371 patrickJMT
Chain rule with the power rule
 
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Chain rule with the power rule
Views: 26342 Khan Academy
Algebra - Product rule for exponents
 
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This video show how the product rule for exponents can be used to simplify an expression. Remember that for the product rule we add the exponents. For more videos visit http://www.mysecretmathtutor.com
Views: 10915 MySecretMathTutor
Simplifying Exponents With Fractions, Variables, Negative Exponents, Multiplication & Division, Math
 
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This algebra math video tutorial focuses on simplifying exponents with fractions, variables, and negative exponents including examples involving multiplication and division of monomials. This video discusses the basic properties of exponents and their rules such as the product rule, power rule, and quotient rule. It explains how to simplify exponential expressions with zero exponents and tells you when you add, subtract, or multiply two exponents together. This video contains plenty of examples and practice problems. Algebra Review: https://www.youtube.com/watch?v=cL7zrYFqdFk How To Solve Basic Equations: https://www.youtube.com/watch?v=Z-ZkmpQBIFo Trigonometry Review: https://www.youtube.com/watch?v=g8VCHoSk5_o Epic Music Mix: https://www.youtube.com/watch?v=qeljbZhx9bY Excel Tutorial For Beginners: https://www.youtube.com/watch?v=nK-uNYuvcag Top 10 Side Hustles You Can Do To Make Extra Money: https://www.youtube.com/watch?v=gu9YIchkmSc How To Lose Weight Fast! https://www.youtube.com/watch?v=cC4FUSZunsY
Chain Rule and Generalized Power Rule Tutorial
 
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This tutorial presents the chain rule and a specialized version called the generalized power rule. Several examples are demonstrated.
Views: 5172 Randy Thomas
Derivatives of Polynomial Functions: Power Rule, Product Rule, and Quotient Rule
 
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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! Subscribe: http://bit.ly/ProfDaveSubscribe [email protected] http://patreon.com/ProfessorDaveExplains http://professordaveexplains.com http://facebook.com/ProfessorDaveExpl... http://twitter.com/DaveExplains Mathematics Tutorials: http://bit.ly/ProfDaveMaths Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio American History Tutorials: http://bit.ly/ProfDaveAmericanHistory
☆ Learn the Power Rule of Raising an Exponent to Another Exponent | Common Core Algebra I
 
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Join us on this flipped math lesson where we visually explore how to raise an exponent to another exponent. This exponential rule is often referred to as the power to power property! For more MashUp Math content, visit http://www.mashupmath.com and join our free mailing list! :) This lesson answers the questions: How do I multiply exponents? What is the power rule for exponents? How do I raise a power to power? How do I raise an exponent to another exponent. Our lessons are perfect for flipped classroom math teachers and students. This lesson is aligned with the common core learning standards for math and the SAT math curriculum as well. Be sure to join our mailing list at http://www.mashupmath.com
Views: 23971 MashUp Math
Exponents 5 - Power Rule
 
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Videos by Julie Harland http://yourmathgal.com Develops the Power Rule for Exponents and Product of a Power or Quotient Rule, and examples using more than one rule.
Views: 18894 YourMathGal
Ex:  Simplify Exponential Expressions - Product and Power Rule
 
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This video provides several examples of how to simplify exponential expressions. The product and power rule of exponents are emphasized. Complete Video Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com
Views: 37238 Mathispower4u
Simplifying using the power of product rule
 
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Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to each of the exponents of the individual terms of the expression. Subscribe: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1 Website: http://www.freemathvideos.com Learn from Udemy: https://www.udemy.com/user/brianmclogan2/ Follow us on Facebook: https://www.facebook.com/freemathvideos/ Twitter https://twitter.com/mrbrianmclogan #polynomials #rulesofexponents
Views: 162 Brian McLogan
Derivative Shortcuts: All You Need to Know (Power/Product/Quotient/Chain/Trig/Exponential/Log/Rules)
 
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►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithemathguy ►Help me make free videos! https://www.patreon.com/brithemathguy 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: 12220 BriTheMathGuy
Chapter 3.1 Power Rule 3.2 Product Rule 3.3 Trig Derivative
 
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Stewart's Calculus 7th Ed. is the text book followed in this course.
Views: 1700 MessMath
The Product and Power Rule of Exponents
 
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This video derives the product and power rule of exponents and covers examples including fractions and negative coefficients.
Views: 438 MrCaryMath
Calculus 1 Lecture 2.3:   The Product and Quotient Rules for Derivatives of Functions
 
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Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions
Views: 126016 Professor Leonard
Exponent rules part 1 | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy
 
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Introduction to exponent rules Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/exponent_rules?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/v/exponent-rules-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/v/simplifying-radical-expressions1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 1316585 Khan Academy
Proving the power, product and quotient rules by using logarithmic differentiation & the chain rule
 
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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: 22006 blackpenredpen
Product and Power Rules for Exponents - Practice
 
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http://www.greenemath.com/ http://www.facebook.com/mathematicsbyjgreene In this video, we review some additional problems for our lesson on the product and power rules for exponents.
Views: 452 GreeneMath.com
Exponents and the Laws of Exponents (Powers)
 
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Exponents and the exponent rules. Mr. Causey explains exponents and the laws of exponents. Mr. Causey also includes examples and proofs. http://www.mrcausey.com 1:00 Exponents 1:55 Combining Exponents 2:30 Exponent Laws 6:55 Negative Exponents Subscribe for more algebra videos: http://bit.ly/1jeutVl Share this Video: http://www.youtube.com/watch?v=A1wKTiBTsfk Related Videos: Negative Exponents: https://youtu.be/WIxJzjsjBsc Rational Exponents: https://youtu.be/DuoikHsS9To Logarithms: https://youtu.be/i0yb8CjIyWs CONTACT ME: [email protected] FOLLOW ME: http://www.twitter.com/#!/mrcausey http://pinterest.com/mistercausey/ http://www.facebook.com/profile.php?id=814523544 Mr. Causey explains exponents and the laws of exponents. Exponents are also called powers. You will learn about the product of powers, the power of a product, the quotient of powers, the power of a quotient, negative powers and zero as an exponent.
Views: 301107 Mr. Causey
Product and power rules
 
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Product and power rules, negative exponents, zero exponent,
Views: 124 Holly Ourso
Power Rule for Exponents
 
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A discussion on using the power rule for exponents.
Views: 3065 Randy Anderson
Simplifying an expression using power of product property
 
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Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to each of the exponents of the individual terms of the expression. Subscribe: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1 Website: http://www.freemathvideos.com Learn from Udemy: https://www.udemy.com/user/brianmclogan2/ Follow us on Facebook: https://www.facebook.com/freemathvideos/ Twitter https://twitter.com/mrbrianmclogan #polynomials #rulesofexponents
Views: 4523 Brian McLogan
Chain rule combined with power rule (KristaKingMath)
 
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► My Derivatives course: https://www.kristakingmath.com/derivatives-course People often think that chain rule has to be applied only in specific instances while taking the derivative. In fact, chain rule must always be applied, to every derivative. Sometimes applying chain rule just means multiplying by 1, which of course has no effect on the derivative, which is why it looks like chain rule is sometimes not applied. Since chain rule is always applied, to every derivative, you'll very often have to use it in combination with power rule, product rule, or quotient rule. Power rule is the tool you use to take the derivative of power functions, and when the base of the power function is anything other than just "x", you must apply chain rule and multiply by the derivative of the base, which is the "inside" function. Remember that chain rule in general tells you to take the derivative of the outside function first, leaving the inside function completely untouched, and then to multiply your result by the derivative of the inside function. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com FACEBOOK // https://www.facebook.com/KristaKingMath TWITTER // https://twitter.com/KristaKingMath INSTAGRAM // https://www.instagram.com/kristakingmath/ PINTEREST // https://www.pinterest.com/KristaKingMath/ GOOGLE+ // https://plus.google.com/+Integralcalc/ QUORA // https://www.quora.com/profile/Krista-King
Views: 11558 Krista King
Properties of Logarithms - Product, Quotient, & Power Properties
 
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In this video we learn and apply several properties of logarithms. This video features the product property, quotient property, & the power property. The instruction in this video is quick so feel free to pause the video and repeat sections you need to watch more than once. The video ends by talking about expanding. The opposite process is called contracting.
Views: 15240 MATHRoberg
What is the Power to Product Rule of Exponents
 
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Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, whih says that the product of powers with the same base is equivalent to the base raised to the sum of the exponents. Another rule is quotient rule, which says that the quotient of two powers with the same base is equivalent to the base raised to the difference of the two exponents. Another rule is the power rule, which says that when a power is raised to another exponent, then it is equivalent to the base raised to the product of the exponents. Another rule is the rule of negative exponents, which says that a power with a negative exponent is equivalent to the reciprocal of the power with the positive value of the exponent. Another rule is the rule of fractional exponents, which states that a power with a fraction as the exponent is equivalent to the nth root of the base raised to the numerator of the fraction, where n is the denominator of the fraction. Another rule says that whenever the exponent is zero, then we have 1 and whenever the exponent is 1, then we have the number. #polynomials #rulesofexponents
Views: 793 Brian McLogan
☆ Learn to Raise a Product to an Exponent | Common Core Algebra I
 
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Join us on this flipped math lesson where we visually explore how to raise a product inside of parenthesis to an exponent (or power). For more MashUp Math content, visit http://www.mashupmath.com and join our free mailing list! :) This lesson answers the questions: How do I raise a product of terms to an exponent? How do I raise something inside of parenthesis to an exponent? How do I raise a product to a power? What are the laws of exponents? What are the exponential rules? Our lessons are perfect for flipped classroom math teachers and students. This lesson is aligned with the common core learning standards for math and the SAT math curriculum as well. Be sure to join our mailing list at http://www.mashupmath.com
Views: 10658 MashUp Math
Derivatives of Radical Functions
 
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This calculus video tutorial explains how to find the derivative of radical functions using the power rule and chain rule for derivatives. It explains how to find the derivative of square root functions and how to find the derivative of cube root 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 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
Power, product, and quotient rules with negative exponents (KC)
 
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ALEKS: Power, product, and quotient rules with negative exponents (KC)
Exponents  Power of a product rule
 
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A look at the power of a product rule for exponents.
Views: 1788 Durham College SALS
ALEKS: Power and product rules with positive exponents (MC)
 
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Power and product rules with positive exponents
Properties of Exponents (Product/Quotient/Power Rules, Negative Exponents)
 
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We'll take a look at how the important rules of exponents, including the product rule, quotient rule, and power rule. We'll also look at important properties of exponents (powers raised to one and one raised to powers as well as negative exponents. www.toptiermath.com
Views: 14 Top Tier Math
Differences Between the Power Rule & the Chain Rule in Calculus : Calculus Explained
 
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Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow The power rule and the chain rule have some very important differences that you'll need to know when attempting to find the derivative of a function. Learn the differences between the power rule and the chain rule with help from an experienced math tutor in this free video clip. Expert: Ryan Malloy Filmmaker: Patrick Russell Series Description: Calculus is a more advanced mathematical topic than others, so feeling a little overwhelmed from time to time is only natural. Get an explanation for a wide variety of different calculus terms and situations with help from an experienced math tutor in this free video series.
Views: 8148 eHow
Quotient Rule Made Easier (NancyPi)
 
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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: 12330 NancyPi
Proof of the Power Rule
 
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This video is part of the Calculus Success Program found at www.calcsuccess.com Download the workbook and see how easy learning calculus can be.
Views: 15338 calculussuccess
The Power Rule - Fraction Examples - Derivatives Calculus
 
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In this video I go over a couple of example questions finding the derivative of functions with fractions in them using the power rule.
Views: 156909 Mathprism