Not a homework question, I'm just curious, I know this has been asked a few times, but what exactly is happening when you move dx over to the other side of dy/dx=f'(x), is it like the point slope form ∆y=m∆x, or is it applying the differential to both sides, I've always been told a rigorous proof was necessary to show you could "multiply by dx", could someone possibly show me a proof of it, or even just explain why it works?(adsbygoogle = window.adsbygoogle || []).push({});

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# What does it mean to move a differential?

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