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Problem

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

05:18

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Problem 41 Easy Difficulty

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


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02:07

Daniel Jaimes

01:11

Carson Merrill

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 8

The Derivative as a Function

Related Topics

Limits

Derivatives

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SA

Sharieleen A.

October 23, 2020

Finally, the answer I needed, thanks Daniel J.

SA

Sharieleen A.

October 23, 2020

That was not easy, glad this was able to help

Top Calculus 1 / AB Educators
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Lectures

Video Thumbnail

04:40

Limits - Intro

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

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Watch More Solved Questions in Chapter 2

Problem 1
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Problem 5
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Problem 7
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Problem 10
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Problem 13
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Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
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Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
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Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
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Problem 40
Problem 41
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Problem 54
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Video Transcript

Yeah. All right. So the question that I'm looking at has to do with places where functions are not differentiable. Um since there's no like graph um specific to this question provided, I'm just going to spend a little bit of time talking about places you want to look for um when you're looking for uh numbers where functions are not discontinuous. Okay. Or not? Sorry? Differentiable. Alright. So really we're looking for points of discontinuity. Okay. So we're looking for things like holes. Okay. So if I have a graph, here's my ex and my white access X. Y. And maybe my graph looks something like this, but I have one point there. Yeah, that's not. Mhm. That would be a that point right there, wherever whatever X value that is um the function would not be differentiable at that point. Okay. Another one is with vertical assume totes. Yes. The civil service. So if I have, for example, maybe some sort of like, mm hmm. Students, you gotta be like this sense. Mhm. This is something like this. Okay, wherever that vertical ascent, oh, whatever that X value is here, your function would not be just would not be um differentiable at that point. Um The other one that we can talk about is um jump just kind of unease. Okay. So if I have a piece wise function of some sort and maybe my graph goes like this and then jumps, we would not be differentiable at that point. Okay. Um also the other one is at what they call cusp sis. Okay. And a cusp Sorry. They'll expect a cusp is the best example of this is um the absolute value of X. Yes. Okay. So wherever you're v point is whatever your vertex is right there, that point is not going to be differentiable. Okay, So those are kind of the big ones that you want to look for when you're answering answering questions like this. That was helpful. It's.

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Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Anna Marie Vagnozzi

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Kayleah Tsai

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Michael Jacobsen

Idaho State University

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Limits - Intro

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Join Course
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