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What is the difference between $dy$ and $Δy$ and why is $dx$ is same as . . . For examples, this $\mathrm {d}y$ as $\delta y$ and $\mathrm {d}x$ as $\delta x$ notation is used in videos like the ones mentioned in a comment by the OP Yashasv Prajapati: blackpenredpen 's “ delta y vs dy (differential) ” and The Math Sorcerer 's “ How to Compute Delta y and the Differential dy ”
导数 dy dx 是不是一个整体符号？ - 知乎 由于dy dx定义的出发点，这个符号是 一个整体，而不是一个可以拆开的东西。 微分形式、流形等等概念依然十分重要：之所以定义这些概念，是因为我们想在各种各样千奇百怪的几何上继续愉快地微积分；它们的定义也自然的包含了一元函数的情况——事实上
calculus - Understanding the syntax for derivatives - dy dx . . . 8 I'm new to calculus, and I'm trying to understand the syntax of derivatives: $$\frac {dy} {dx}$$ At a glance it implies some kind of division and some variable "d" has entered the picture Does this reflect some deep relationship between division and derivatives or is it just misleading?