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

Check if the following functions f : ℝ → ℝ are differentiable:

[itex]\displaystyle f(x)=|(x-1)^{2}(x+1)^{3}|[/itex]

[itex]\displaystyle f(x)=|x^{2}-\pi^{2}|sin^{2}x[/itex]

2. Relevant equations

3. The attempt at a solution

I don't know what the condition should be, I've searched a lot of topics concerning this problem but they all contain reference to some points or intervals at which it should be checked.

That's why I have no idea how to start and what definition has to be used.

Thanks in advance!

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# Check if the following functions are differentiable

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