4. If f(c)=0 then f has a local extremum at c. 5. A function that is continuous on a closed interval attains an absolute maximum value and an absolute minimum value at numbers in that interval. 6. The second derivative test can decide whether a critical point of f(x,y) under the constraint g(x.y)=1 is a maximum.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#8 (4-6) True or False

4. If f(c)=0 then f has a local extremum
at c.
5. A function that is continuous on a closed
interval attains an absolute maximum value
and an absolute minimum value at numbers
in that interval.
6. The second derivative test can decide
whether a critical point of f(x,y) under the
constraint g(x,y)=1 is a maximum.
Transcribed Image Text:4. If f(c)=0 then f has a local extremum at c. 5. A function that is continuous on a closed interval attains an absolute maximum value and an absolute minimum value at numbers in that interval. 6. The second derivative test can decide whether a critical point of f(x,y) under the constraint g(x,y)=1 is a maximum.
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