(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Where is the function f(x) = |x| differentiable?

2. Relevant equations

[f(x+h) - f(x)] / h

3. The attempt at a solution

I know that the graph of f(x)=|x| shows a corner at the origin from which 2 lines project at opposite slopes, as in they are symmetric about the y-axis.

I've seen the solution but I don't understand why f(x) is differentiable for every number except 0.

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# Homework Help: Derivatives of absolute values

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