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October 10th, 2011, 05:22 PM   #1
 
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Find all values for x where function is differentiable

I am given the function (x) = ((3x-6)^?) + 5

How do I find all of the values of x where the function is differentiable?
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October 10th, 2011, 05:24 PM   #2
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Re: Find all values for x where function is differentiable

You could start by taking the derivative, and see where that is undefined.
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October 10th, 2011, 05:30 PM   #3
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Re: Find all values for x where function is differentiable

We are given:



thus:



Thus, we find f(x) is not differentiable for:



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October 10th, 2011, 05:36 PM   #4
 
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Re: Find all values for x where function is differentiable

Makes perfect sense. Thank you.
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