3.5 Issues in Curve Sketching

By the end of your studying, you should know:
Onscreen applet instructions:
For the function shown, the applet identifies the relationship between the derivative (positive, negative, or zero) and the function (increasing, decreasing, max or min) that can aid in sketching a graph of the function. Use the slider to move the point P along the curve.
ExamplesConsider a continuous function f with the following properties:
Consider a function f which is defined for all real numbers except x = 1, and assume f has a given list of properties. Draw a possible graph of f. Match graphs of three functions with their derivatives. AppletsCurve Sketching: Increasing/DecreasingCurve Sketching: Concavity VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 3.5 Issues in Curve Sketching (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
Curve Sketching

Interesting ApplicationNothing yet has been found. Any ideas? 
3.4 Slope Fields and Euler?s Method  Table of Contents  3.6 Optimization 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel