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