'Relative extrema' presentation slideshows

Unit 5

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Chapter 5 Applications of the Derivative Sections 5.1, 5.2, 5.3, and 5.4

Chapter 5 Applications of the Derivative Sections 5.1, 5.2, 5.3, and 5.4. Applications of the Derivative. Maxima and Minima Applications of Maxima and Minima The Second Derivative - Analyzing Graphs. Absolute Extrema. Let f be a function defined on a domain D. Absolute Maximum.

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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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Calculus I (MAT 145) Dr. Day Monday March 25, 2019

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Section 4.3

Section 4.3. Increasing and Decreasing Functions and the First Derivative Test. Relative Extrema. f(x). Relative Maximum . Relative Minimum . Relative Extrema. f(x). Relative Extrema. f(x). Relative Extrema. f(x). Increasing and Decreasing. Example 1 .

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Math 140

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Local Extreme Points

Local Extreme Points. Objectives. Students will be able to Find relative maximum and minimum points of a function. First-Derivative Test for Local Extrema. Suppose c is a critical point for y = f ( x )

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4.3 Extreme Values of Functions

4.3 Extreme Values of Functions. Borax Mine, Boron, CA Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington. Local Extreme Values:. A local maximum is the maximum value within some open interval.

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Overview

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Section 3: Increasing & Decreasing functions & the first derivative test

Learning Target: I will determine if a function is increasing or decreasing and find extrema using the first derivative. Section 3: Increasing & Decreasing functions & the first derivative test. AP Exam Practice. A function, f, is increasing on an interval for any

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3.3 Increasing and Decreasing Functions and the First Derivative Test

3.3 Increasing and Decreasing Functions and the First Derivative Test. What are we doing?. In this section we are going to be using the derivative to classify whether a relative extrema is either a minima or maxima. How did we do this classification before?.

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3.4 Concavity and the Second Derivative Test

3.4 Concavity and the Second Derivative Test. Determining Concavity. Determine the open intervals on which the graph is concave up or concave down. Determining Concavity. Determine the intervals on which the graph is concave up or concave down. Finding Points of Inflection.

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FLORIN GJERGJAJ

FLORIN GJERGJAJ. INDIVIDUAL PROJECT: GUIDE FOR SOLVING 2008 FRQ #6. 2008 #6. Breaking down the question - They are asking for line tangent so you know that you will have to use the point slope formula =

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Extrema on an Interval

Extrema on an Interval. Understand the definition of extrema of a function on an interval. Understand the definition of relative extrema of a function on an open interval. Find extrema on a closed interval. Standard 4.5a. Definition of Extrema.

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Relative Extrema and More Analysis of Functions

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5.4 Exponential Functions: Differentiation and Integration

5.4 Exponential Functions: Differentiation and Integration. The inverse of f(x) = ln x is f -1 = e x . Therefore, ln (e x ) = x and e ln x = x. Solve for x in the following equations. Take the ln of both sides. Operations with Exponential Functions.

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Calculus Section 5.4 Differentiate logarithmic functions

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Calculus Section 4.2 Find relative extrema and graph functions

Calculus Section 4.2 Find relative extrema and graph functions. Recall: the derivative of a function can be used to determine when the graph is increasing and decreasing. The slope of a graph is positive to the left of a relative maximum and negative to its right.

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