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Can someone please explain me how is system

y(t)=dx(t)/dt non-causal and system with memory? I tried it using derivation definition, but I did not understand it.

Also I'm interested in integral of x(T)dT (from -inf to to) - is it always causal and how? Do you have any literature or links where it is well explained.

Thank you in advance

EDIT:

I found this:

and this:

How can I know from this definition of derivative that it is not causal? And on those two pictures, dx(t)/dt definition is different, so what's correct? I have before seen second one, but never the first one.

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# Homework Help: How is dx(t)/dt system non-causal

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