My textbook says it’s not a fraction but defined in terms of the limit of a fraction, what does this actually mean? I’m generally having trouble understanding the notation, particularly in the context of implicit differentiation.
Thanks.
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It’s read as “the change in y with respect to the change in x”. Basically, it’s asking you how changes in x affect y.
If I asked you how volume changes with respect to pressure, you could graph that out. If I asked you how volume changes with respect to color, the graph would look very different – it doesn’t. It’s important to specify the respected property so you know which graph to draw.
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