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Find the points where the function is not differentiable 
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#1
Dec110, 05:52 AM

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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. 


#2
Dec110, 07:20 AM

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P: 18,209

You should transform this function in a piecewize function.
That is, the doubtfull points are those when x^{2}3x+2=0 and x=0. Once you've determined these points, you can write your function is piecewise form... 


#3
Dec110, 11:32 AM

P: 1,394

My book says 1,1,2 are the possible points of nondifferentiability.
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 


#4
Dec110, 11:39 AM

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P: 18,209

Find the points where the function is not differentiable
1 is not a point of nondifferentiability, 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 nondifferentiability... 


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