PPT-Derivative as a Rate of Change

Chapter 3 Section 4 Usually omit instantaneous Interpretation The rate of change at which f is changing at the point x Interpretation Instantaneous rate are limits of average rates Example. Presented By. Safwat Khalid. Session Objective. Understand characteristics of different types known derivative tools and its application. How derivative instrument can be an effective tool to manage risk and enhance our investment portfolio returns. derivative. Lecture. . 5. Handling. a . changing. . world. x. 2. -x. 1. y. 2. -y. 1. The. . derivative. x. 2. -x. 1. y. 2. -y. 1. x. 1. x. 2. y. 1. y. 2. The. . derivative. . describes. . the. Rate of change:. Shows the relationship between two. VARIABLE. quantities.. The table shows the elevation of a hang glider over time. Is the rate of change in elevation with respect to time constant? What does the rate of change represent?. 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. Rate of Change of a Linear Relationship. The . rate of change. of a linear relationship is the . steepness. . of the line.. rise. run. Rate of Change. . =. . . Rates of change. are seen everywhere.. 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, . 5.1. Accumulating Change: Introduction to results of change. Accumulated Change. If the rate-of-change function f’ of a quantity is continuous over an interval a<x<b, the accumulated change in the quantity between input values of a and b is the area of the region between the graph and horizontal axis, provided the graph does not crosses the horizontal axis between a and b. . Applied Calculus ,4/E, Deborah Hughes-. Hallett. Copyright 2010 by John Wiley and Sons, All Rights Reserved. Applied Calculus ,4/E, Deborah Hughes-. Hallett. Copyright 2010 by John Wiley and Sons, All Rights Reserved. NOW: . Replace: . Graph of . , with words:. Graph: (. , the . slope of the tangent line to the . function . . at that . point). .  . CALCULUS problem:. Graph: (. , the slope of the tangent line to the function . Use . implicit differentiation to find . If. What is a Related Rate?. When working related-rate problems, instead of finding a derivative of an equation y with respect to the variable x, you are finding the derivative of equations with respect to time, a hidden variable . Derivative. A + B + C. [ ] + [ ] + [ ]. A * B * C. [ ] +. [ ] + [ ]. A^(B^C). [ ] + [ ] + [ ]. A^B / C. [ ] + [ ] + [ ]. Three inputs, 3 changing perspectives to include. George. Frank. g. f. f . • . Using the Greeks we can understand what will happen to options prices when the market changes.. What are the Greeks?. The Greeks are values that describe the sensitivity to change in the price of the Option relative to the factors that drive an option’s price.. T. he line y=L is a horizontal asymptote of the graph of f if lim f(x)=L or limf(x)=L. Horizontal Asymptotes. X->. 8. X-> -. 8. Finding a horizontal asymptote (when looking at exponential degree):. 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 .