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Comment on Derivatives don't always act like fractions (2021)parent

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If you are careful to represent them on the right set of variables, and apply them on the right points (what the example on the article obviously doesn't do), they pretty much behave exactly like fractions.

There are many areas of mathematics that spun from this.

Being careful is very costly, if you’re not careful you’re just approximating or being wrong. At this point we have to weigh if the tradeoff of writing it as fractions was really worth it

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