Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

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

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Fahad Paryani
Numerade Educator

Like

Report

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

Related Topics

Derivatives

Differentiation

Volume

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Grace He
Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
Recommended Videos

05:10

The graph of a function y …

02:23

The graph of a function y …

01:45

Following is the graph of …

01:45

Following is the graph of …

01:07

Graph of a Function Which …

02:50

Which of the specified fun…

04:52

Using the graph of $f,$ (a…

00:33

Use the graph of $y=2^{x}$…

02:18

(a) Sketch the graph of $f…

01:09

(a) Sketch the graph of $f…

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 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
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.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
162
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
70
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Volume

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Joseph Lentino

Boston College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
Recommended Videos

05:10

The graph of a function y = f(x) is shown_ At which point(s) are the following …

02:23

The graph of a function y f(x) is shown At which point(s) are the following sta…

01:45

Following is the graph of $f(x)=a x^{2}+$ $b x+c:$ (A) $a$ is positive and $c$ …

01:45

Following is the graph of $f(x)=$ $a x^{2}+b x+c:$ (A) $a$ is positive and $c$ …

01:07

Graph of a Function Which of the following is true about the graph of $y=\ln \l…

02:50

Which of the specified functions might have the given graph? (A) $f(x)=-x(x+2)…

04:52

Using the graph of $f,$ (a) determine whether $d y / d t$ is positive or negati…

00:33

Use the graph of $y=2^{x}$ to match the function with its graph. [The graphs ar…

02:18

(a) Sketch the graph of $f(x, y)=e^{-\left(x^{2}+y^{2}\right)}$ (b) Describe in…

01:09

(a) Sketch the graph of $f(x, y)=e^{-\left(x^{2}+y^{2}\right)}$ (b) In this par…
Additional Mathematics Questions

02:42

For the following function make a table of slopes of secant lines and make c…

03:35

Assume that postage for sending first-class letter in the United States is $…

02:53

Use Newton's Method with the function f(x) = x3 5 and initial value Xo …

02:38

point) Consider the function shown below:
What type of function is shown …

12:31

The average duration of labor from the first contraction to the birth of the…

02:17

Patients arriving at an outpatient clinic ar routinely screened for high blo…

02:48

Find the equation of a circle with radius-6 and center C(2,-5) . (write the …

03:51

college has 700 students_
survey has determined that:
read French read…

01:46

point) For the differential equation
+bs' +4s = 0,
find the posit…

10:56

Use the trigonometric substitution x=5 tan 0 to calculate the indefinite int…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started