Find the points where the function is not differentiable

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Homework Help Overview

The discussion revolves around identifying points where a given function is not differentiable, particularly focusing on the behavior of the function at specific values.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss potential points of non-differentiability, including values such as -1, 1, and 2. There is uncertainty regarding the inclusion of -1 and the role of the modulus function in determining differentiability.

Discussion Status

Participants are actively exploring different interpretations of the problem, with some suggesting methods to transform the function into a piecewise format. There is a recognition of differing opinions regarding which points should be considered as non-differentiable.

Contextual Notes

There is mention of a textbook reference that lists certain points as possible non-differentiability points, leading to questions about the methodology used to arrive at those conclusions. The discussion also highlights confusion around the behavior of the function at x=0.

zorro
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Homework Statement


Find the points where the function given by
gif.gif

is not differentiable.

The Attempt at a Solution



I got the doubtful points as +-1, 2
How do I check the differentiability now? The mod. function is confusing me a bit.
 
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You should transform this function in a piecewize function.

That is, the doubtfull points are those when x2-3x+2=0 and x=0.
Once you've determined these points, you can write your function is piecewise form...
 
My book says 1,-1,2 are the possible points of non-differentiability.
Can you tell me how -1 is included?
Moreover, 0 as you told would not be a doubt full point as cos(modx) is same as cosx
 
-1 is not a point of non-differentiability, at least not if you follow my method. Maybe the book uses other methods.

You are correct about 0. Thus 1 and 2 are the only possible points of non-differentiability...
 

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