Why aren’t derivatives treated as fractions?

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It’s pretty common to hear that dy/dx isn’t a fraction, but if that’s the case then why do we treat as such in a differential equation or an integral? For example, if dy/dx = f(x), then how can we just write it as dy= f(x)dx as though it’s a fraction?

In: Mathematics

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Anonymous 0 Comments

„Times“ dx represents the inverse function aka the integral. You can move around the dx term similar to divisor, however that does not mean it is one.

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