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.
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 pute Delta y and the Differential dy ”.
阅读全文 高数变简单 8 人赞同了该回答 就是dx和dy谁除以谁的关系呀 看完我的这个视频之后还不懂请来怪我~~~ 讲了:dx dy的意思 、微分的定义 、导数符号的意思 视频资源加载失败 dx dy的意思 微分的定义 导数符号的意思 编辑于 2017 12 13 07:20
高等数学中,dy 的「d」是什么意思? dy单列出来,这个d什么意思,什么由来? 然后配合后面的y,组成的dy,又是什么意思? 然后dx呢? 这个dx与 x区别在于 数学不好,但我贵在孜孜好学,求… 显示全部 关注者 131 被浏览
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 699 被浏览
而d (dy),先看括号内的,指对y的微分,令dy=u,则d (dy)变为du,即对u求微分,所以我们可以推导出来,ddy就是对y求微分再求微分,即把一段y分成无数小块,取其中一块dy再把这个dy分成无数小块,取其中一块就是ddy或者写成d^2y,d^2可以理解为求两次微分,后面接 ...
我们再次梳理 d x, Δ x, d y, Δ y dx,\Delta x,dy,\Delta y 的关系 其中增量 Δ x, Δ y \Delta x,\Delta y 分别称作自变量和因变量的差分, d x, d y dx,dy 分别是自变量和因变量的微分 对于 Δ x \Delta x ,作为自变量的增量,我们不需要过多描述。 对于 d x dx ,,我们令 f (x) = x f (x)=x 时, d x = f ′ (x) Δ x → d x = Δ x dx=f' (x ...
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 ...
What if we want to look at the change of the change? Well, notationally we write d2y dx2 = d dx(dy dx) d 2 y d x 2 = d d x (d y d x) In the previous notation, this would be f′′(x) f ″ (x) and we just 'assume' we took the derivative with respect to x x since it is the only input variable for f f.
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