Differentiation is the set of techniques and results from Differential Calculus, concerning the calculation of derivatives of functions or distributions.
Questions tagged [differentiation]
1823 questions
6
votes
3 answers
Physics & derivatives written in a weird way
I was always taught that $\frac d {dx} (\ln x) = \frac 1 x$. No derivative had as a result any $dx$ words.
In a physics book I encountered something like this (error discussion) [there might be a little difference, as I don't have the book right…
marmistrz
- 567
2
votes
1 answer
What is the difference between partial and total differencial in Faraday's law?
According to Wikipedia, Faraday's law leads to an experimental situation called the Faraday paradox:
An often overlooked fact is that Faraday's law is based on the total derivative, not the partial derivative, of the magnetic flux. This means that…
Kutsubato
- 25
1
vote
0 answers
About Poisson's equation and its meaning
So, by working out a physics equation, I ended up with Poisson's equation:
$$
\nabla^2A=G.
$$
Now the thing is, $A$ is not some sort of potential, but a physical quantity, energy in my case. If the Laplacian operator essentially gives you the…
0
votes
1 answer
Why is the derivate used in the faraday equation?
Sorry for this silly question, but I need a little bit "intuitive" definition of derivate. For example, we have the faraday law:
$$E =L * \frac{\partial i}{\partial t}$$
I know the more quickly chance in current $\partial i$ in the same time…
NIN
- 101
0
votes
1 answer
Why does the material derivative and transport theorem look different?
Reynolds transport theorem says that
$
\frac{d\int\phi}{dt}=\int\left(\frac{\partial\phi}{\partial t} + \nabla\cdot(\phi\otimes v) \right)
$
Why is the material derivative not defined as what's inside the integral on the right hand side?
Emil
- 693
0
votes
0 answers
differentials in physics
Often I find the following expressions in physics books:
Say we have a current density $\vec{j}=\rho\vec{v}$ through a surface $\vec{F}$ of particles $N$ in the volume $V$ with the density $\rho=dN/dV$ and -for simplicity- the velocity…
pawel_winzig
- 521
- 4
- 14
-1
votes
3 answers
Why and how maximum force is $\frac{dF}{dx}=0$?
In an certain question my teacher asked to find the maximum force. She said that the maximum force in electrostatics means $\frac{dF}{dx}=0$. Why is it like that?
gksingh
- 415
-1
votes
2 answers
Why derivatives appear in the form of gradients or divergence?
There are many physics problems whose mathematical equations have the same form.
At these problems we always get an equation with a gradient. And the derivatives appear in the form of a gradient or a divergence.
What are the reasons benind that?
veronika
- 2,706