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

Mason Cullen

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
Matthew Thomas

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.

Garrett Wright