- 不定积分符号为什么是∫dx？为什么要加一个dx？是不是多此一举了？ - 知乎
不定积分符号为什么是∫dx？ 为什么要加一个dx？ 是不是多此一举了？ 这样对于初学者很容易把不定积分和定积分给弄混啊 显示全部 关注者 286
- What does the dx mean in an integral? [duplicate]
The " dx d x " lets people think informally that you're multiplying a height, f(x) f (x), by an "infinitesimal width", dx d x, and then taking an infinite sum
- What do the symbols d dx and dy dx mean? - Mathematics Stack Exchange
1 I like to look at it this way: dx and dy are just representations of change in accordance to either x or y axis If you take the the symbol for derivative dy dx and compare it to the formula for the slope: f(x1) − f(x2) x1 − x2 we can clearly see that dy and dx depict change in y and change in x respectively
- calculus - Finding $\int x^xdx$ - Mathematics Stack Exchange
You forgot to compute du in terms of dx Further, after solving an indefinite integral, it's ofter good idea to check it, deriving
- 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 2,210 被浏览
- Is There a Difference Between $d^2x$ and $(dx)^2$?
Here, (dx)2 (d x) 2 means dx ∧ dx d x ∧ d x, and the fact that it vanishes comes from the fact that the exterior algebra is anti-commutative In other words, formally we have d2x = 0 d 2 x = 0 and (dx)2 = 0 (d x) 2 = 0 but for two different reasons When you see something like d2x dx2, d 2 x d x 2, this is really an abuse of notation for
- calculus - What is the true, formal meaning and reason for the dx . . .
Prior to the 1800s, "dx" was considered an "infinitesimal" - a number so close to zero that, for some things, it can be considered actually zero, but wasn't exactly zero In the 1800s, the failure to formalize infinitesimals (and, in my opinion, the growing rise of materialism) led to the belief that infinitesimals were invalid mathematical
- Meaning of dx, dy, du (u-substitution) - Mathematics Stack Exchange
I understand the meaning of dy dx d y d x and ∫ f(x)dx ∫ f (x) d x, but outside of that what do dy, du, dx d y, d u, d x etc mean? When I took calc I, derivatives and integrals were given a definition, but these things were kind of skipped over When we started using du substitution we had to start using them but they were still never really explained Can somebody explain what they are
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