Problem

Use the guidelines of this section to sketch the …

05:21

Question

Answered step-by-step

Problem 43 Medium Difficulty

Use the guidelines of this section to sketch the curve.

$ y = 1/(1 + e^{-x}) $

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Carson Merrill

Numerade Educator

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

December 13, 2021

awful explanation

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 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

Video Transcript

So ultimately, our goal for this problem is to sketch the curve. Um, and in sketching the curve, what we'll see is a lot of really important, um, piece of information particularly relating to derivatives and second derivatives. So what this graph is is one over one plus either the negative X So this is the graph right here, and we'll zoom in to see it. Um, we see that this graph is always increasing. Um, it has horizontal Assam totes of zero and one. We see that there's only a white intercept at zero is your 0.5. There are no X intercepts. These are all important piece of information. We can also look at the first derivative and see that there are no critical points. There are no local minimums or maximums. Aan den. We could look at the second derivative and see that there is an inflection point. The graphics con cave up mostly, um, from negative Earth's entirely con cave up from negative infinity to zero and then a 00 is the inflection point. We c 01 half is the inflection point. So from zero on to infinity the graphics conclave down This just shows you how the derivative can be really powerful tool. Um, to help us understand better what this graph actually looks like.

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