Problem

The graph of $ f $ is given. State, with reasons,…

View

Problem 42 Easy Difficulty

The graph of $ f $ is given. State, with reasons, the numbers at which $ f $ is $ not $ differentiable.

Name: the graph of f is given state with reasons the numbers at which f is not differentiable 2
Uploaded: 2021-08-26
Channel: Numerade
Description: The graph of $ f $ is given. State, with reasons, the numbers at which $ f $ is $ not $ differentiable.

Answer

See step for answer

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College

Watch More Solved Questions in Chapter 2

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

Video Transcript

in this problem, It is given that the graph of F is given stayed with reasons, the number at which F is not different shape. So for the first card we can see here the F is not that is function F is not differentiable. It X is equal to -4. Okay, see them, you can right here at is equal to You can see your -40. Great boy, because open point is senior at X is equal to zero. Can you see here? Yes. So, this this shows that this is an undefined point. So when the graph breaks then it is not different shape letter right? And there becomes a discontinuity on stop. Mm Has this continued to this continuously? Right. All right. So now we can say at X equals two minus for a sharp turn is present. Right? So for the sharp turn we cannot differentiate it. Oh right, so now for this second part second graph we can see here, F is not differentiable at X is equal to minus one and FZ equals 2 -2. I'm sorry. Uh X equals two minus two minus one and ex Z equals two. Two. So, similarly from here, we can see this was -4. Right, this was zero. Similarly here, we can see a Sharpton, Right? At XX equals to two. So this is not different tables. Right? So this is the reason for the xxi, closer to it is not different people again At x equals 2 -1, X equals 2 -1. Here. They graph is breaking, you can you can see here like this, this is not a point right here, like you can in first year as you can see this is a point filled with and this is not a bank point. This is a break off the point, right? So we cannot say this is this is also breaking, this is also breaking, right? This is also breaking. So we cannot say this is a point. So that's why this is not a different shape right now. Moving ahead, we can see Now for the 3rd graf. So it is no different table at x equals two. So I'm sorry x is equal to one. So this is not differentiable again, this is a sharp gun, this is a sharp turn. So this is not the friendship. I'm jane. And also the graph breaks. Uh and we can say this is uh this graph is also spread it over minus infinity to infinity. We cannot different the points here. So that's why this is not different. She able right? No, for the 4th and the last what we can see here it will be. This is the graph. Okay, so f is not different shape. X is equal to -2, one and three. So minus two, one and three. Mhm. So bad. Ever A sharp turn is seen. So that is not the friendship. So we can see in -2 -2 and -3 -2 and three. It's it's equals two minus two. And ecstasy Question my three. We can see here the Sharpton. So that's why this is not different people. And here if we solve this graph we can see in your like this that this is this is open point and this is also open point, right? This is open, this is open, this is open. So the points are open here, right? So they can say they they start graph breaks which represents the undefined value. So if the value is not defined, right? So if any of the graph is breaking order, you can see if the value is not defined uh or you can say this is a spread it over minus infinity to infinity. You cannot define the function. So this is how we solve this problem. I hope you understood this concept. Thank you for watching.

Aparna S.

UIT RGPV

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 8

The Derivative as a Function

Problem