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 ”
In differential calculus, why is dy dx written as d dx ( y)? In differential calculus, We know that dy dx is the ratio between the change in y and the change in x In other words, the rate of change in y with respect to x Then, why is dy dx written as d dx
导数 dy dx 是不是一个整体符号? - 知乎 更新: 之所以写这个答案,是因为看过很多答案将dx,dy理解成微分,然后来解释微积分符号的含义。这样解释在我看来过于复杂——没有说它们不对,而是复杂。 我之所以不愿意在一元函数阶段引入微分,就是因为我认为,引入「微分」来解释过于复杂: 需要额外定义「微分」到底是什么意思