PPT-New Unit: Derivative Tools

In this unit you will develop tools to better understand curves You will learn to distinguish between maximums minimums and points of inflection You will also learn to differentiate more complex functions such as composites and trigonometric reciprocals. We have that AA 1 that is that the product of AA is the sum of the outer products of the columns of To see this consider that AA ij 1 pi pj because the ij element is the th row of which is the vector a a ni dotted with the th column of which is Notation dx dx y 00 f 00 Thus dx dx dy dx Example Find the second derivatives of the following functions a 2 x y 00 2 b y 00 c 5 4 5 y 00 The 64257rst derivative gives information about whether a funct ion increases or decreases In fact A d O 13526 brPage 2br Derivative Classifier Training Page of 21 Derivative classifiers must receive training every two years if training is not completed you will be unable to derivatively classify materials As a derivative classifier you are assigned a Section 3.1b. 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. 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???. The . Journey Begins . with the . Comprehensive Unit-Based . Safety Program. May 21, 2013. Della M. Lin, M.D.. dlinmdconsult@yahoo.com. Hawaii Safer Care SUSP. “the most common cause of failure in leadership is produced by treating adaptive challenges as if they were technical problems.”. 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 . FGFOA Conference, Orlando FL,. Mark A. White, CPA, Partner, Purvis Gray & Company LLP. Jim Towne, Senior VP, DerivActiv. 1. Statement 53. Accounting and Financial Reporting for Derivative Instruments. 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 . Section 3.1a. Answers to the “Do Now” – Quick Review, p.101. 1.. 2.. 3.. 5. Slope:. 6.. 4.. 7.. 8.. 9. No, the one-sided limits. at . x. = 1 are different. 10. No, . f. is discontinuous. at . Prerequisites– Lines. [Unit 1.1]. Objective: The student will be able to use lines with their associated graphs and tabular data to predict behavior of . modeled . functions.. Key ideas: P4–Point-Slope Equation, . 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 . , Leadership, Citizenship, and Fitness. “We . Deliver Life Changing Experiences for our members”. “We . are financially healthy”. “Our . Unit Leaders have . fun meetings/activities . with .