Problem

The graph of the derivative $ f' $ of a continuou…

04:59

Question

Answered step-by-step

Problem 34 Easy Difficulty

The graph of a function $y=f(x)$ is shown. At which point(s) are the following true?
(a) $\frac{d y}{d x}$ and $\frac{d^{2} y}{d x^{2}}$ are both positive.
(b) $\frac{d y}{d x}$ and $\frac{d^{2} y}{d x^{2}}$ are both negative.
(c) $\frac{d y}{d x}$ is negative but $\frac{d^{2} y}{d x^{2}}$ is positive.

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Fahad Paryani

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 3

How Derivatives Affect the Shape of a Graph

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 4

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Video Transcript

So the graph of the function Reichel's aftereffects is shown. So this is effort Bank, by the way, on were asked about Which point are the following statement? True. So we'LL go through each of the statement. So for a we're told that where the slope is positives or do ideas and first driven and it is Khan cave up So d square second derivative is positive. So we want positive slope and and con cave up Well, can't you up occurred right here in this region So an A and B and B has a a positive flow but they have the negative slopes of the answer would be big and then for B So for the next one is telling us that a slowpoke and the second the first and second riveted or both Negative. But I mean, it's con cave down and negative slow. So we have conquered where conclave down at CD and Eve because you could see the upside down new shape right here. And so now we just have determined where the point is. Ah, the slope is negative. So see us positive. Because if you draw a line right here, so positive love this will be a zero slow and he has a slightly negative slope. So it is e and then C is hard to see. But it's telling us that the first group of negative but the second derivative is positive. So we're looking for where it is time to give up less air B and it occurs and the slope is negative. So this world was negative and be so let's just be and that is it.

Get More Help with this Textbook

James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem

The graph of the derivative $ f' $ of a continuou…

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus: Early Transcendentals

Related Topics

Discussion

Top Calculus 2 / BC Educators

Grace He

Kayleah Tsai

Caleb Elmore

Joseph Lentino

Calculus 2 / BC Courses

Recommended Videos

Watch More Solved Questions in Chapter 4

Video Transcript

James Stewart

Calculus: Early Transcendentals

Grace He

Kayleah Tsai

Caleb Elmore

Joseph Lentino

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus: Early Transcendentals

Grace He

Kayleah Tsai

Caleb Elmore

Joseph Lentino

James StewartCalculus: Early Transcendentals

Grace He

Kayleah Tsai

Caleb Elmore

Joseph Lentino

James Stewart

Calculus: Early Transcendentals