Review Topics Final Exam Ab | Fall 2009

  • July 2020
  • PDF

This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA


Overview

Download & View Review Topics Final Exam Ab | Fall 2009 as PDF for free.

More details

  • Words: 185
  • Pages: 1
iLearnMath.net | AP Calculus | Final Exam Review  2009   

Chapter 1: ¾ ¾ ¾ ¾ ¾

Four ways of describing functions; New functions from old ones. Review library of functions: trigonometric, rational, polynomial, logarithmic, exponential Review unit circle Review formulae (inside cover) Understand transformations geometrically / domains of new functions

Chapter 2: ¾ ¾ ¾ ¾

Limits: Numerically, Graphically, Algebraically, Verbally. One sided limits / overall limit at a point Laws of Limits Continuity / One-sided continuity

Chapter 3: ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾

Derivatives and rates of change: The secant line’s slope approximates true slope. Definitions of the derivative at a point The Derivative as a function Differentiation shortcuts Chain Rule Implicit Differentiation Rates in the Natural Sciences Social Sciences (Applications to Economics) Related rates problems Linear Approximation

Chapter 4: ¾ ¾ ¾ ¾ ¾ ¾

Max and Min Values The Mean Value Theorem How derivatives affect the shape of a graph Limits at infinity: Horizontal Asymptotes Sketching Guidelines Optimization problems

Chapter 7: ¾ Inverses, Property of Inverse Functions for Derivatives ¾ Exponential Growth and Decay ¾ Inverse Trig Derivatives

Related Documents