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Find the points where the function is not differentiable

by zorro
Tags: differentiable, function, points
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zorro
#1
Dec1-10, 05:52 AM
P: 1,394
1. The problem statement, all variables and given/known data
Find the points where the function given by

is not differentiable.

3. 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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micromass
#2
Dec1-10, 07:20 AM
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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...
zorro
#3
Dec1-10, 11:32 AM
P: 1,394
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

micromass
#4
Dec1-10, 11:39 AM
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micromass's Avatar
P: 18,209
Find the points where the function is not differentiable

-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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