Introduction to slope fields

1. Auntie Derivative and
her Family of Functions
An
antiderivative
is a family
of functions
1

2. dy
Find the slope @ each (x, y) for = 2x
dx
http://www.calculusapplets.com/introdiffeq.html
http://math.hws.edu/eck/math131/s05/applets.html
http://www.calculusapplets.com/slopefields.html
2

3. 3

4. 4

5. y = x2/4 ­ x + 2
5

6. y = x3/3 ­ x + 7/3
6

7. y = sin x + 4
7

8. y = 1/x + 2
8