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4.1 Extreme Values of Functions

4.1 Extreme Values of Functions. Absolute extreme values are either maximum or minimum points on a curve. They are sometimes called global extremes. They are also sometimes called absolute extrema . ( Extrema is the plural of the Latin extremum .). 4.1 Extreme Values of Functions.

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200

Domain. Symmetry. Function Operations. Inverses. Misc. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. What is the domain?. X > 4 Except for 6 . What is the domain?.

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On Free Mechanical Vibrations

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Final Jeopardy 203

Final Jeopardy 203. If a sequence of level curves are all closed (i.e. form a closed loop) with each one inside the previous one. Then, some point inside the innermost loop is a________. Formulas 100 Answer. A local max or min. Formulas 101. Show that does not exist. Formulas 101 Answer.

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Math 180

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Parallel Sorting Algorithms

Parallel Sorting Algorithms. Potential Speedup. O( n log n ) optimal sequential sorting algorithm Best we can expect based upon a sequential sorting algorithm using n processors is:. Compare-and-Exchange Sorting Algorithms.

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The Second Derivative

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Application of Derivatives

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Persistence Diagram: Topological Characterization of Noise in Images

Persistence Diagram: Topological Characterization of Noise in Images. Moo K. Chung Department of Biostatistics and Medical Informatics Waisman Laboratory for Brain Imaging and Behavior University of Wisconsin-Madison www.stat.wisc.edu/~mchung. Brain Food Meeting November 5, 2008.

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Calculus Chapter 4

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4.3 1st & 2nd Derivative Tests

4.3 1st & 2nd Derivative Tests. Increasing or Decreasing? : If f ? ( x ) > 0 in an interval, then f is increasing in the interval. If f ? ( x ) < 0 in an interval, then f is decreasing in the interval. 1st Derivative Test c is critical number of f :

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3.3 1 st Derivative Test

3.3 1 st Derivative Test. Increasing or Decreasing? : If f ? ( x ) > 0 in an interval, then f is increasing in the interval. If f ? ( x ) < 0 in an interval, then f is decreasing in the interval. 1st Derivative Test c is critical number of f :

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Section 15.1 Local Extrema

Section 15.1 Local Extrema. Definition of Local Extrema. Let P be a point in the domain of f . Then f has a local maximum at the point P 0 if f ( P 0 ) ? f ( P ) for all points P near P 0

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Local Linearity

Local Linearity. The idea is that as you zoom in on a graph at a specific point, the graph should eventually look linear. This linear portion approximates the tangent line to the curve at the specific point.

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Section 1.2 Functions and their Properties

Aaron Thomas Jacob Wefel Tyler Sneen. Section 1.2 Functions and their Properties. Funny Introduction. Introduction. By the end of this lesson we will introduce the terminology that is used to describe functions

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L7 Optimal Design concepts pt C

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4.3 Using Derivatives for Curve Sketching

Photo by Vickie Kelly, 1995. Greg Kelly, Hanford High School, Richland, Washington. 4.3 Using Derivatives for Curve Sketching. Old Faithful Geyser, Yellowstone National Park. Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. 4.3

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Chapter 16

Chapter 16. Section 16.5 Local Extreme Values. Critical (or Stationary) Points A critical or stationary point is a point (i.e. values for the independent variables) that give a zero gradient. On a surface this will make the tangent plane horizontal.

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2.8 Graph Analysis

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