Section 4.3
Read the entire section. Pay particular attention to
each of the tests and definitions in the red
boxes. Answer the following questions by 7:00
am. Send an e-mail with subject line **MA251**
**4.3** to selliott@utm.edu
.

1) Finish the
sentence: If f '(x) > 0 on an interval, then f is . . .
.

Then f is
increasing on that interval

2) Fill in the
blanks: A function f is called concave upward on an
interval I if the graph of f lies ______ all of its tangents on
I.

above

3) What does the
second derivative test tell us about the extreme values of f at
c if f '(c) = 0 and f ''(c) = 0 ?

3. It is inconclusive,
there might be a maximum or a minimum
or neither.