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  • What do the symbols d dx and dy dx mean? - Mathematics Stack Exchange
    Okay this may sound stupid but I need a little help What do d dx d d x and dy dx d y d x mean? I need a thorough explanation Thanks
  • 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 ”
  • 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
  • 微分符号 dx、dy 表示什么含义? - 知乎
    微分符号 dx、dy 表示什么含义? 微分 dx、dy 与导数 dy dx 的关系是什么? 为什么 dy dx 等于 f(x)的导数,即 dy dx=f'(x)。 将 dx 移到等号右边就是微… 显示全部 关注者 2,209 被浏览
  • 微分符号,dx,dy到底是什么含义? - 知乎
    微分符号,dx,dy到底是什么含义? 刚学高数,用的同济教材,学到隐函数求导的时候,教材莫名奇妙的出现dy,dx ,d dy等符号,此后教材导数全用d什么d什么表示了,教材没有对这些符号进… 显示全部 关注者 670 被浏览
  • What exactly are dx and dy in differential equations?
    In undergraduate differential equations courses, calculations that involve manipulating dx d x and dy d y as independent quantities can always be rephrased easily to avoid doing so (That said, "infinitesimal intuition" should not be thrown out the window For intuition, we can think of dx d x and dy d y as tiny but finite quantities and do calculations with them, obtaining approximate
  • Calculus: why do we define rate of change as $dy dx$?
    Velocity dy dx d y d x is the ratio between displacement and time -- it tells me (approximately) how much displacement (y y) changes for every unit change in time (x x) In the same way, it is not quite correct to think about the rate at which the area changes as just the absolute change in the area, as you do in your post
  • 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
  • derivatives - Proof of dy=f’ (x)dx - Mathematics Stack Exchange
    It's merely a symbolic notation, used to simplify some expressions If you will, just take dy = f′(x)dx d y = f ′ (x) d x as the definition of the symbols dy, dx d y, d x Note that these (at least for now) are no real mathematical objects (in the sense that they are rigorously defined), and just serve to make some stuff a bit tidier





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