This is not the document you are looking for? Use the search form below to find more!

0.00 (0 votes)

Lesson 9: The Product and Quotient Rule

- Added:
**April, 25th 2011** - Reads:
**198** - Downloads:
**0** - File size:
**535.15kb** - Pages:
**39** - content preview

- Name:
**jayden**

Related Documents

The competitive advantage of a company strongly depends on its possibility to benefit from innovational activities. Understanding the factors that affect product and process innovation and their ...

We use the product rule to simplify the expression where expression is a combination of different kind of variables, numbers and operations like addition, subtraction, multiplication and division ...

In mathematics, quotient rule is basically a part of calculus. It is an efficient method to find the derivative of any function. It is a simple or normal rule to find the differentiation of the given ...

Foundations of Finance The Logic and Practice of Financial Management Keown 6th Edition Solutions Manual

---------------------------------------------------------------------- Click on my -username- to find the NEW UPDATE! ---------------------------------------------------------------------- The Great ...

The Abbey and Devon at South Riding Apartments for Rent Brochure South Riding, VA

Good old lessons in teamwork from an age-old fable The Tortoise And The Hare Once upon a time a tortoise and a hare had an argument about who was faster.…

The York and Potomac Park Apartments Printable Brochure - Washington Apartments 532 20th Street, NW Brochure Powered By: Washington, DC ...

Robert Axelrod, “The Live-and-Let-Live System in Trench Warfare in World War I,” pp. 73-87 in Robert Axelrod, The Evolution of Cooperation (New York: Basic Books, 1984)

Complete Instructor Manual and Test Bank for Statistics for The Behavioral and Social Sciences: A Brief Course, 5th Edition, Arthur Aron, Elliot Coups, Elaine N. Aron, ISBN-10: 0205797253, ISBN-13: ...

Content Preview

Section 3.2The Product and Quotient RulesMath 1aFebruary 22, 2008AnnouncementsProblem Sessions Sunday, Thursday, 7pm, SC 310Oﬃce hours Tuesday, Wednesday 2–4pm SC 323Midterm I Friday 2/29 in class (up to §3.2)OutlineThe Product RuleDerivation of the product ruleExamplesThe Quotient RuleDerivationExamplesMore on the Power RulePower Rule for nonnegative integers by inductionPower Rule for negative integersRecollection and extensionWe have shown that if u and v are functions, that(u + v ) = u + v(u − v ) = u − vWhat about uv ? Is it u v ?Try this with u = x and v = x 2. Then uv = x 3, so (uv ) = 3x 2.But u v = 1(2x ) = 2x .So we have to be more careful.Is the derivative of a product the product of thederivatives?NO!Then uv = x 3, so (uv ) = 3x 2.But u v = 1(2x ) = 2x .So we have to be more careful.Is the derivative of a product the product of thederivatives?NO!Try this with u = x and v = x 2.So we have to be more careful.Is the derivative of a product the product of thederivatives?NO!Try this with u = x and v = x 2. Then uv = x 3, so (uv ) = 3x 2.But u v = 1(2x ) = 2x .Is the derivative of a product the product of thederivatives?NO!Try this with u = x and v = x 2. Then uv = x 3, so (uv ) = 3x 2.But u v = 1(2x ) = 2x .So we have to be more careful.Work longer hours.Get a raise.Say you get a 25 cent raise inyour hourly wages and work 5hours more per week. Howmuch extra money do youmake?Mmm...burgersSay you work in a fast-food joint. You want to make more money.What are your choices?Get a raise.Say you get a 25 cent raise inyour hourly wages and work 5hours more per week. Howmuch extra money do youmake?Mmm...burgersSay you work in a fast-food joint. You want to make more money.What are your choices?Work longer hours.Say you get a 25 cent raise inyour hourly wages and work 5hours more per week. Howmuch extra money do youmake?Mmm...burgersSay you work in a fast-food joint. You want to make more money.What are your choices?Work longer hours.Get a raise.Document Outline

- Announcements
- The Product Rule
- Derivation of the product rule
- Examples

- The Quotient Rule
- Derivation
- Examples

- More on the Power Rule
- Power Rule for nonnegative integers by induction
- Power Rule for negative integers

## Add New Comment