- What is $dx$ in integration? - Mathematics Stack Exchange
If f(x) is in meters per second and dx is in seconds, then f(x)dx is in meters, and so is the integral These things should be dimensionally correct, and are not so without the " dx " Sometimes one has a dot-product or a cross-product or a matrix product or some other sort of product between f(x) and dx
- 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
- 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
- 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
- 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
其中一派被称之为 实无穷派，他们最大的特点认为无穷小量是一种实实在在的量，可以和其他实数一起参与代数运算，比如加减乘除，代入到基本函数里面。比如，实无穷派可以内心毫无波澜地写成下面的等式 dy=sin (x+dx)-sin (x)=2cos (x+\frac {dx} {2})sin (\frac {dx} {2})\approx cos (x)dx 另外，无穷小量和实数
- calculus - Why are derivatives specified as $\frac {d} {dx . . .
Is the purpose of the derivative notation $\\frac{d}{dx}$? strictly for symbolic manipulation purposes? I remember being confused when I first saw the notation for derivatives - it looks vaguely like
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