'Open intervals' presentation slideshows

Calculus

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Markov and semi-Markov processes describe the dynamics of biological ion channels

Markov and semi-Markov processes describe the dynamics of biological ion channels. Professor Alan G Hawkes Swansea University. Professor David Colquhoun : Professor of Pharmacology, University College London. Swansea ion-channel team. Alan Hawkes. Assad Jalali. Anton Merlushkin.

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Section 3.4

Section 3.4. 1 st Day. Read p. 190. Test for Concavity. Let f be a function whose second derivative exists on an open interval I . 1. If f ??( x ) > 0 for all x in I , then the graph of f is concave upward in I .

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Increasing and Decreasing Intervals Where Does the Fun End ?

Increasing and Decreasing Intervals Where Does the Fun End ?. Anne Dudley Michael Holtfrerich Joshua Whitney Glendale C ommunity College Glendale, Arizona. Increasing & Decreasing Activity 1. Determine the largest interval on which each function (on the handout) is increasing.

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SKETCHING THE GRAPH USING THE FIRST DERIVATIVE TEST

SKETCHING THE GRAPH USING THE FIRST DERIVATIVE TEST. Standard of Competence : 6. To use The concept of Function Limit and Function deferential in problem solving. Basic Competenc e : 6.4 To use The derived to find the caracteristic of functions and to solve the problems. Indicator :

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Increasing and Decreasing Functions and the First Derivative Test

Increasing and Decreasing Functions and the First Derivative Test. Determine the intervals on which a function is increasing or decreasing Apply the First Derivative Test to find relative extrema of a function. Standard 4.5a. y. Increasing. Decreasing. Constant. x.

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AP Calculus Section 3.4 Concavity and the Second Derivative Test

AP Calculus Section 3.4 Concavity and the Second Derivative Test . Student Notes Definitions, Theorems, and Examples. Definition.

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Learning Distinctions and Rules in a Continuous World through Active Exploration

Learning Distinctions and Rules in a Continuous World through Active Exploration. Paper by Jonathan Mugan & Benjamin Kuipers Presented by daniel Hough. The Challenge. To build a robot which learns its environment like children do.

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AP Calculus Section 3.3 Increasing and Decreasing Functions and The First Derivative Test

AP Calculus Section 3.3 Increasing and Decreasing Functions and The First Derivative Test. Student Notes Definitions, Theorems, and Examples. Definition.

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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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AP Calculus BC Wednesday , 16 October 2013

AP Calculus BC Wednesday , 16 October 2013. OBJECTIVE TSW determine intervals of concavity and points of inflection (POI) by using the second derivative test. ASSIGNMENT DUE TEST DAY Sec. 3.3: pp. 186-187 (1-37 odd, 55-60 all) Sec. 3.4: p. 195 (1-37 eoo )

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Interval Notation

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Increasing and Decreasing Functions

Increasing and Decreasing Functions. The First Derivative Test. Increasing and Decreasing Functions. Definitions of Increasing and Decreasing Functions. Test for Increasing and Decreasing Functions.

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4.6 Minimum and Maximum Values of Functions

4.6 Minimum and Maximum Values of Functions. Borax Mine, Boron, CA Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington. Extreme values can be in the interior or the end points of a function. No Absolute Maximum. Absolute Minimum. Absolute Maximum.

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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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3.1 Extrema on an Interval

3.1 Extrema on an Interval. Questions that will be answered in Chapter 3:. Does f have a maximum or a minimum value? Where is the function increasing or decreasing? Applications? Derivative will help us! . 3.1 Extrema on an Interval. 3.1 Extrema on an Interval .

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3.4 Concavity

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3.3 Increasing/ Decreasing Functions

3.3 Increasing/ Decreasing Functions. Increasing/Decreasing/ Constant - Precalculus. Increasing/Decreasing/ Constant-Calculus. Finding Incr / Decr /Constant. Find open intervals where is increasing, decreasing or constant. Answer I. Take derivative. Answer II.

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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. A function is increasing on an interval if for any two numbers x 1 and x 2 in the interval x 1 < x 2 implies f(x 1 ) < f(x 2 ). A function is decreasing on an interval if for any two

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Chapter 3: Applications of Differentiation

Chapter 3: Applications of Differentiation. L3.3 Increasing / Decreasing Functions and the First Derivative Test . Increasing and Decreasing Functions. If for every x 1 < x 2 on an interval f(x 1 ) < f(x 2 ) , then f is increasing [as x?, f ? ]

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