4.3 Derivatives and the Shapes of Curves

Mathematica script by Chris Parrish,
   cparrish@sewanee.edu

Problems from James Stewart,
  "Calculus: Concepts and Contexts,"
  Second Edition, Brooks/Cole, 2001

A Template for Drawing the Graphs of Functions and their Derivatives

Stewart, Section 4.3

Here is a template for drawing the graphs of functions and their derivatives in the same screen.

In[19]:=

Needs["Graphics`Colors`"] Clear[f, x, derivativePlot]  f[x_] := x^3 - x^2 -  ...          AxesLabel  {"x", None}] ;

f[x] =  -5 - x - x^2 + x^3

f'[x] =  -1 - 2 x + 3 x^2

f''[x] =  -2 + 6 x

[Graphics:HTMLFiles/4.3_curveShapes_5.gif]


Created by Mathematica  (October 19, 2003)