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Student Name:
Sections 4.3 (Due: Thursday, 10/25)
Description
:
This homework will help you learn:

the use of the first derivative to determine whether a function is increasing or decreasing,

the First and Second Derivative Tests for local maxima and minima,

the use of second derivative to determine concavity and points of reflection,

the geometric description of concavity, and the relationship between concavity and the
behavior of the first derivative.
Show all work to get full credit.
1) Use the given graph of
f
to find the following.
(a) The open intervals on which
f
is increasing.
( , )
( , )
(b) The open intervals on which
f
is decreasing.
( , )
( , )
(c) The open interval on which
f
is concave upward.
( , )
(d) The open interval on which
f
is concave downward.
( , )
( , )
(e) The coordinates of the point of inflection.
( , )
2) The graph of the derivative
f
' of a function
f
is shown.
(a) On what intervals is
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 Fall '08
 Noohi
 Calculus, Derivative

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