'Absolute extrema' diaporamas de présentation

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C H A P T E R 3

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Review 3.1-3.3 - Increasing or Decreasing - Relative Extrema - Absolute Extrema - Concavity

Review 3.1-3.3 - Increasing or Decreasing - Relative Extrema - Absolute Extrema - Concavity. Increasing/Decreasing/Constant. Increasing/Decreasing/Constant. Increasing/Decreasing/Constant. Generic Example. The corresponding values of x are called Critical Points of f.

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Chapter 6 Applications of the Derivative

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Chapter 3

Chapter 3. Applications of the Derivative. Figure 3.1: Definition of Increasing and Decreasing Functions. Test for Increasing and Decreasing Functions. Figure 3.4: Definition of Critical Number. Guidelines for Applying Increasing/Decreasing Test. Figure 3.10: Definition of Relative Extrema .

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Analyzing Multivariable Change: Optimization

Analyzing Multivariable Change: Optimization. Chapter 8.1 Extreme Points and Saddle Points. 8.1- Extreme Points and Saddle Points. The optimization techniques for functions with a single input variable readily generalize to multivariable functions.

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4.1 Extreme Values of Functions

4.1 Extreme Values of Functions. Borax Mine, Boron, CA Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington. 4.1 Extreme Values of Functions. Borax Plant, Boron, CA Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington.

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12.5: Absolute Maxima and Minima

12.5: Absolute Maxima and Minima. Finding the absolute maximum or minimum value of a function is one of the most important uses of the derivative. For example: Finding the maximum profit, the time it takes for a drug to reach its maximum concentration

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4.1 Extreme Values of Functions

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Business Calculus

Business Calculus. Extrema. Extrema: Basic Facts. Two facts about the graph of a function will help us in seeing where extrema may occur. The intervals where the graph is rising or falling. The possible shapes of the graph at its highest or lowest points.

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AP Calculus BC Monday , 07 October 2013

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4.1 Extreme Value Theorem

4.1 Extreme Value Theorem. f(c)?f(x) for ALL x in D. f(c)?f(x) for ALL x in D. f(c)?f(x) for x near c. f(c)?f(x) for x near c. EXTREMA. ABS MAX. REL MAX. Point of Inflection. REL MAX. ABS MIN. REL MIN. HW 4-1A Pg. 184 #7-10 all. Critical Numbers (or Critical Points):.

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4.1 Extreme Values of Functions

4.1 Extreme Values of Functions. Greg Kelly, Hanford High School Richland, Washington. The mileage of a certain car can be approximated by:. At what speed should you drive the car to obtain the best gas mileage?. Look at the following example :.

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Extreme values of functions

Extreme values of functions. Section 4.1a. Definition: Absolute Extreme Values. Let be a function with domain D . Then is the. absolute maximum value on D if and only if for all x in D. (b) absolute minimum value on D if and only if for all x in D.

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Today in Pre-Calculus

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Absolute Extrema

Absolute Extrema. Lesson 6.1. Fencing the Maximum. You have 500 feet of fencing to build a rectangular pen. What are the dimensions which give you the most area of the pen Experiment with Excel spreadsheet. Intuitive Definition.

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Extreme Value Theorem

Extreme Value Theorem. Objectives. Students will be able to Find all absolute maximum and minimum points of a function on a closed interval. Determine if the Extreme Value Theorem applies to a given situation. Extreme Value Theorem.

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Extrema on an Interval

Extrema on an Interval. 1. Find any critical numbers of the function (similar to p.209 #12). 2. Find any critical numbers of the function (similar to p.209 #13). 3. Find any critical numbers of the function (similar to p.209 #14).

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Chapter 12 Review Important Terms, Symbols, Concepts

Chapter 12 Review Important Terms, Symbols, Concepts. 12.1. First Derivatives and Graphs Increasing and decreasin g properties of a function can be determined by examining a sign chart for the derivative.

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