9. In each part state the x-coordinates of the inflection points of f. Give reasons for your answers. | (a) The curve is the graph of f. (b) The curve is the graph of f". (c) The curve is the graph of f". 24 लिल 0 2 4 8 X

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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Question
Number 9
7. (a) State the First Derivative Test.
(b) State the Second Derivative Test. Under what circum-
stances is it inconclusive? What do you do if it fails?
8. The graph of the first derivative f' of a function / is shown.
(a) On what intervals is f increasing? Explain.
(b) At what values of x does f have a local maximum or
minimum? Explain.
(c) On what intervals is f concave upward or concave down-
ward? Explain.
(d) What are the x-coordinates of the inflection points of f?
Why?
4
VA
y = f'(x)
JA
0
1
3
D
tm
9. In each part state the x-coordinates of the inflection points
of f. Give reasons for your answers.
(a) The curve is the graph of f.
(b) The curve is the graph of ƒ'.
(c) The curve is the graph of f".
0
7
पण्डिनीय
2
21
6
EN
9 t
3 X
Transcribed Image Text:7. (a) State the First Derivative Test. (b) State the Second Derivative Test. Under what circum- stances is it inconclusive? What do you do if it fails? 8. The graph of the first derivative f' of a function / is shown. (a) On what intervals is f increasing? Explain. (b) At what values of x does f have a local maximum or minimum? Explain. (c) On what intervals is f concave upward or concave down- ward? Explain. (d) What are the x-coordinates of the inflection points of f? Why? 4 VA y = f'(x) JA 0 1 3 D tm 9. In each part state the x-coordinates of the inflection points of f. Give reasons for your answers. (a) The curve is the graph of f. (b) The curve is the graph of ƒ'. (c) The curve is the graph of f". 0 7 पण्डिनीय 2 21 6 EN 9 t 3 X
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