PPT-Graphing the Derivative, Applications

Section 31b Remember that in graphical terms the derivative of a function at a given point can be thought of as the slope of the curve at that point Therefore we can get a good idea of what the graph of. Erin E. Barton. Rationale. Visual inspection of graphed data is . the primary . means by which data analysis . occurs in SCR. Graphs assist in communicating . information quickly . and without . extensive transformation. Points of Inflection. Section 4.3a. Writing: True . or . False – A . critical point . of. a function always signifies . an . extreme. value . of the . function. Explain.. FALSE!!! – Counterexample???. Alg. 2. Mr. Carpenter. BEWARE!!!… . QUIZ . AFTER. System of Inequalities. The . ONLY. difference between a system of . EQUATIONS. and a system of . INEQUALITIES. is that the equations have an “=“ sign and inequalities have “≥, <, >, or ≤.” Which means that… . Why graph?. Visual representation of data. We plot data so that we can more easily observe trends or behavior of the data . Graphing is a common method of data analysis.. Basics. there are two axes - horizontal (x-axis) and vertical (y-axis) . Technology in My Classes. ?. 1. (Session W27). James W. Hall . Parkland College (Retired). jhall@wbhsi.net. Brian A. Mercer. Parkland College. bmercer@parkland.edu. James W. Hall. . Sun Lakes, Arizona. Big thanks to the OTW . organisers. . and companies supporting it. Eric Grancher, . CERN IT. 1. Documents at . https. ://indico.cern.ch/event/459090. /. . Outliers matter. 2. Human perception (personal). Erin E. Barton. Rationale. Visual inspection of graphed data is . the primary . means by which data analysis . occurs in SCR. Graphs assist in communicating . information quickly . and without . extensive transformation. Chapter 3.1. Definition of the Derivative. In the previous chapter, we defined the slope of the tangent line to a curve . at a point . as. When this limit exists, it is called the . derivative of . University of Michigan – Dearborn Science Learning Center. Based on a presentation by James . Golen. Revised by Annette . Sieg. …. Introduction. Before using this module you must already understand the basics of graphing (e.g., identifying dependent and independent variables, plotting data points). . VALUE THEOREMS. Derivability of a function :. A function . f . defined on [. a, b. ] is said to be derivable or differentiable at if exists. This limit is called derivative of . Transformations. Day 5. we spent a day focusing on “Translations”. A. . translation. . is a slide that moves a figure to a different position (left, right, up or down) . without. changing its size or shape and . Slope of the Tangent Line. If . f. is defined on an open interval containing . c. and the limit exists, then . . and the line through (. c. , . f. (. c. )) with slope . m. is the line tangent to the graph of . The Second Derivative and the Function. The first derivative tells us where a function is increasing or decreasing. But how can we tell the manner in which a function is increasing or decreasing?. For example, if . A . derivative. is a contract between two or more parties whose value is based on an agreed-upon underlying . financial asset. (like a security) or set of assets (like an index). . Derivatives are financial contracts whose values are derived from the values of underlying assets. They are widely used to speculate on future expectations or to reduce .