Confusion with understanding derivatives "in respect to...." I have been teaching myself Calculus for the past 2 weeks or so and I've just barely started learning Implicit Differentiation. There's a few things I have trouble understanding, which this is probably a simple concept that I am failing to understand due to lack of teacher. When taking the derivative of a something, with respect to something else, what does that mean? All the videos and tutorials I find online mention, taking the derivative "with respect to x" or "with respect to y" or "with respect to b".... and this changes the answer(or does it?). Can someone help me get an intuition on what it means to take the derivative with respect to something else and how it can change the answer? I'm not looking for any complex answers so if you wish to show an example, feel free to make it as easy as you want. I am just trying to understand what it means to take it with respect to something else. I know how to take derivatives on a fairly simple level, but I have not found any guides clarifying what "with respect to x or y" means. Thanks.