'Intermediate value theorem' diaporamas de présentation

3.1 Derivative of a Function

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3.1 Derivative of a Function

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C hapter 3

C hapter 3. Limits and Their Properties. Section 3.1. A Preview of Calculus. What is Calculus. Calculus is the mathematics of change---velocities and accelerations

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In this chapter, we begin our study of differential calculus.

In this chapter, we begin our study of differential calculus. This is concerned with how one quantity changes in relation to another quantity. DERIVATIVES.

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Limits and Continuity

Limits and Continuity. Definition. Evaluation of Limits. Continuity. Limits Involving Infinity. Limit. L. a. Limits, Graphs, and Calculators. Graph 1. Graph 2. Graph 3. c) Find. 6. Note: f (-2) = 1 is not involved . 2. 3) Use your calculator to evaluate the limits.

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Chapter 3

Chapter 3. Polynomial and Rational Functions. 3.1 Polynomial Functions and Their Graphs. A polynomial function P is given by where the coefficients are real numbers and the exponents are whole numbers. The leading term is , the leading coefficient is . Behavior of Graphs of Functions.

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Spatial-Based and Variable-Based Selections

Spatial-Based and Variable-Based Selections. Hank Childs, University of Oregon. November 6 th , 2013. Announcements. Final project Come in & talk with me OH: Weds 10-11:30 Thurs 10-11 Who wants to take 610 class?. Project #7A. You write a VTK program.

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Dr. Siham Alfred Raritan Valley Community College salfred@raritanval.edu

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MAT 1234 Calculus I

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Continuity and One-Sided Limits

Continuity and One-Sided Limits. Lesson 2.4. Don't let this Happen to you!. Intuitive Look at Continuity. A function without breaks or jumps The graph can be drawn without lifting the pencil. ?. Continuity at a Point. A function can be discontinuous at a point

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Section 2.4 Continuity & One-sided Limits

Section 2.4 Continuity & One-sided Limits. | a. | a. Recall: One Sided Limits. Left-Hand Limit : The limit of f as x approaches a from the left equals L is denoted . Right-Hand Limit : The limit of f as x approaches a from the right equals L is denoted .

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Continuity Curves without gaps?

Continuity Curves without gaps?. Animation (infinite length). Continuity. Definition A function f is continuous at a number a if lim f(x) = f(a). x -> a. 1. f (a) is defined. 2. lim f(x) exists. x -> a. 3.lim f(x) = f(a). x -> a.

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3.2: Continuity

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Intermediate Value Theorem

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3.2 Differentiability

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 3.2 Differentiability. Arches National Park. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. Arches National Park.

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Polynomial Functions: Graphs, Applications, and Models

Polynomial Functions: Graphs, Applications, and Models. 3.4. Intermediate Value Theorem ? Boundedness Theorem. Intermediate Value Theorem.

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CONTINUITY

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Continuity, the Intermediate Value Theorem, and the Bisection Method

Continuity, the Intermediate Value Theorem, and the Bisection Method . Continuity, IVT & Bisection Method. A function is continuous at a point c if and only if a. is defined b. exists c. the two are equal; i.e. .

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Bernard Bolzano (1781-1848)

Bernard Bolzano (1781-1848). Studied philosophy, mathematics and physics in Prague starting 1796, doctorate 1804. Decided to become a priest was ordained in 1804 and took up a chair in the philosophy of religion.

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