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What is the difference between $dy$ and $Δy$ and why is $dx$ is same as . . . For examples, this dy d y as δy δ y and dx d x as δx δ 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
dy dx . . . what are we really saying? What is dx? [duplicate] Additional Note: When given an equation like: dy dx = 2x d y d x = 2 x You could re-write it as: dy = 2xdx d y = 2 x d x If you integrate the left hand side with respect to y y and the right hand side with respect to x x, you get y =x2 + c y = x 2 + c In this process one may be lead to think that dx d x is a variable
Difference between $dx \\wedge dy$ and $dxdy = dA$. In R2 R 2, consider the differential form ω = dx ∧ dy ω = d x ∧ d y and infinitesimal area element dA = dxdy d A = d x d y I already know that ∫R2 w =∫R2 dA ∫ R 2 w = ∫ R 2 d A So is dx ∧ dy d x ∧ d y more of a precise way of writing dA d A or are they just different entities whose integral happen to be same