Chapter 4, Problem 4CRQ

(a)

To determine

To fill: “A critical number of a function f is any number in the ____ of f at which $f^{\prime }\left(c\right)$ ____ or $f^{\prime }\left(c\right)$ does not ____.”

(b)

To determine

To fill: “If f has a relative extrema at c, then c must be a/an ____ ___ of f.”

(c)

To determine

To fill: “If c is a critical number of f, then f may or may not have a /an ____ at c.”