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I'm new to calculus, and i'm trying to understand the syntax of derivatives: But then others told me that dx is part of what's being integrated, and they started saying that we're led to believe that its just a delimiter in early courses because it'd be impossible for.

Opeen Mar 07, 2026

I need a thorough explanation. The symbol used for integration, $\int$, is in fact just a stylized s for sum; What do $\large \frac {d} {dx}$ and $\large \frac {dy} {dx}$ mean?

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The classical definition of the definite integral is $\int_a^b f (x) dx = \lim_ {\delta x \to 0} \sum_ {x=a}^ {b} f (x)\delta x$;

In the setting of measure theory, dx is interpreted as a measure;

Okay this may sound stupid but i need a little help. But, for the purposes of elementary calculus, the only role of the dx is. $$\\frac {dy}{dx}$$ at a glance it implies some kind of division and some variable d has entered the picture. Dx/dx ask question asked 10 years, 6 months ago modified 10 years, 6 months ago