38
1.4. THE DERIVATIVE FUNCTION
r
x
r ′
x
s
x
s ′
x
w
x
w ′
x
z
x
z ′
x
When you are finished with all 8 graphs, write several sentences that describe your
overall process for sketching the graph of the derivative function, given the graph
the original function. What are the values of the derivative function that you tend
to identify first? What do you do thereafter? How do key traits of the graph of the
derivative function exemplify properties of the graph of the original function?
⊳
For a dynamic investigation that allows you to experiment with graphing f ′ when
given the graph of f , see http://gvsu.edu/s/8y. 6
6 Marc Renault, Calculus Applets Using Geogebra.
1.4. THE DERIVATIVE FUNCTION
r
x
r ′
x
s
x
s ′
x
w
x
w ′
x
z
x
z ′
x
When you are finished with all 8 graphs, write several sentences that describe your
overall process for sketching the graph of the derivative function, given the graph
the original function. What are the values of the derivative function that you tend
to identify first? What do you do thereafter? How do key traits of the graph of the
derivative function exemplify properties of the graph of the original function?
⊳
For a dynamic investigation that allows you to experiment with graphing f ′ when
given the graph of f , see http://gvsu.edu/s/8y. 6
6 Marc Renault, Calculus Applets Using Geogebra.