Physics Review: E&M: Electrical Potential and Potential Energy #11 Charged Cylinder

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We will find, the potential, Va-Vb=?, of a charged cylinder and charge density=lambda=20nC/m using calculus.
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Title search on other platforms: Physics Review: E&M: Electrical Potential and Potential Energy #12 Ring of Charge

[@djt6fan]

Could you make a short video with an explanation of differentials and how they are used in physics in contrast to math? I understand that a differential in physics is just a very small number and that calculations become more precise when we take a limit to 0. But what I don’t understand is that in math dx or infinitesimals in general denote “change”, like a delta. Basically is there a connection between differentials in physics being used to represent small areas/lengths/masses (very small, immeasurable, but a physical concept, as in, a small area that doesn’t change) and the mathematical concept of change? In short, I’m confused when I see dA in physics - it’s supposed to be a small area, but in math it would be a change in an area. I hope you understand my confusion, and can help clear it up. Cheers

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