安裝中文字典英文字典辭典工具!
安裝中文字典英文字典辭典工具!
|
- calculus - What is the difference between $dy$ and $Δy$ and why is $dx . . .
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
- dy dx . . . what are we really saying? What is dx? [duplicate]
I've read 'similar' threads here, that ended up as long fights about 'dy dx' being or not being a ratio, so I'm clearly not the first person to wonder about what it is Maybe if I can get clear on what 'dx' by itself is, that will help
- Where does the $dy$ go in the process of integration?
For example dy dx = 3x, then dy = 3x dx The problem here is that you're doing something which in some ways isn't allowed and is slightly controversial $\mathrm{d}y$ and $\mathrm{d}x$ aren't really separate terms that can have specific values so $\frac{\mathrm{d}y}{\mathrm{d}x}$ isn't really a fraction, it's an operation ( $\frac{\mathrm{d
- What exactly are dx and dy in differential equations?
If I understand correctly, you mean if we have something like: $$\frac{dy}{dx}=f(y)g(x)$$ then we get: $$\int\frac{1}{f(y)}\frac{dy}{dx}dx=\int g(x)dx$$ writing it like this shows that we integrate wrt the same variable on both sides but it can be simplified to: $$\int\frac{dy}{f(y)}=\int g(x)dx$$ similarly if we have an expression of the form
- calculus - What does dy or dx mean outside the context of a derivative . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- derivatives - Proof of dy=f’(x)dx - Mathematics Stack Exchange
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- Why is the 2nd derivative written as - Mathematics Stack Exchange
In Leibniz notation, the 2nd derivative is written as $$\dfrac{\mathrm d^2y}{\mathrm dx^2}\ ?$$ Why is the location of the $2$ in different places in the $\mathrm dy \mathrm dx$ terms?
|
|
|