*  Reading Outline, Sec6.1 *
----------------------------------------

* Vocabulary/Definitions *
 - Antiderivative
 - Family of Antiderivatives
 - Sketching f given f': behavior of f when f'>0, f' is increasing, etc.
 - Using the Fundamental Theorem to find actual values of f(x) given f'(x)



* Understand *
1. Use your calculator to find a graph of f(x) = 4x e^{-x} - 1 for 
0 <= x <= 5 and -1 <= y <= 1.  Sketch an antiderivative of f(x)
that has f(0) = 2.


2. Suppose that F'(x) is given by the following table.  Estimate F(b)
at b=1/2, 1, 3/2, 2, 5/2, and 3.  Use these to
sketch F(x) for 0 <= x <= 3.
  x       0   0.5     1  1.5  2  2.5  3 
 ----------------------------------------
  F'(x)  -2  -1.5  -0.25  1  1.5  1  -1