Section 4.1 Read the entire section.  Answer the following questions by 7:00 am.  Send an e-mail with subject line MA251 to selliott@utm.edu .

1) Fill in the blanks:  A critical number  of a function f is a number c in the ________ of f such that either f '(c) = _____ or f '(c) ________.

1. Domain, 0, does not exist
Trisdan Ragland


2) What is step 2 in the closed interval method for finding absolute maximum and minimum values of a continuous function f on a closed interval [a, b]?

Find the values of f at the endpoints of the interval.

Denton Davolt


3) Fill in the blanks: If f has a local maximum or minimum at c, and if f '(c) ______ then f '(c) = _____ .

3.exists, 0

 

Michael Blankinship