'Second derivative test' presentation slideshows

Calculus Date: 12/18/13 Obj : SWBAT apply first derivative test

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CHAPTER 3 SECTION 3.4 CONCAVITY AND THE SECOND DERIVATIVE TEST

CHAPTER 3 SECTION 3.4 CONCAVITY AND THE SECOND DERIVATIVE TEST. Definition of Concavity and Figure 3.24. Sketch 4 graphs a)1 decreasing and concave up b)1 increasing and concave up, c)1 decreasing and concave down, d)1 increasing and concave down. y. y. x. x. b. a. y. y. x. x. d. c.

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Chapter 4

Chapter 4. Applications of Derivatives. 4.1 Extreme Values of Functions. (0, 2). The Extreme Value Theorem . Local Extreme Values. Find the extreme values of . Find the extreme values of . p.193 (1-29, 35-41)odd. 4.2 Mean Value Theorem. Rolle's Theorem

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MAT 1221 Survey of Calculus

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MAT 1234 Calculus I

MAT 1234 Calculus I. Section 3.3 How Derivatives Affect the Shape of a Graph (II). http://myhome.spu.edu/lauw. Next. Wednesday Quiz: 3.3,3.4 Exam II: Next Thursday. Preview. We know the critical numbers give the potential local max/min. How to determine which one is local max/min?.

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The Writing Questions on the AP Calculus Exams

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Section 4.4

Section 4.4. Concavity and the Second Derivative Test. Concavity. Concavity (cont.). Example 1. State the signs of and on the interval (0,2). Example 2. State the signs of and on the interval (0,2). Example 3.

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Concavity and the Second Derivative Test

Concavity and the Second Derivative Test. Determine the intervals on which the graphs of functions are concave upward or concave downward. Find the points of inflection of the graphs of functions. Use the Second Derivative Test to find the relative extrema of functions. Standard 4.5a.

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Section 4.3

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Warm-Up: December 13, 2012

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Lesson 4-3

Lesson 4-3. First and Second Derivative Test for Relative Extrema. Quiz. Homework Problem: Differentials 3-11 f(x) = x 5 Use differentials to estimate f(2.001) Reading questions: Where is the first derivative test performed to determine a relative extrema?

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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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3.4 Concavity and the Second Derivative Test

Review If a functions wants to switch from decreasing to increasing. or visa versa, what are its options of approach/attack! (There is only three options). 3.4 Concavity and the Second Derivative Test. We will learn about: Concavity -Points of Inflection - The Second Derivative Test.

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Concavity and Second Derivative Test

Concavity and Second Derivative Test. Lesson 4.4. ?. Concavity. Concave UP Concave DOWN Inflection point: Where concavity changes. At inflection point slope reaches maximum positive value. After inflection point, slope becomes less positive. Slope starts negative.

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Second Derivative Test, Graphical Connections

Second Derivative Test, Graphical Connections. Section 4.3b. Do Now: #30 on p.204 (solve graphically). (a) Local Maximum at. (b) Local Minimum at. (c) Points of Inflection:. Second Derivative Test for Local Extrema. If and , then has a

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Concavity and the Second Derivative Test

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Calculus Section 4.3 Determine the concavity of a function

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