Generation of differential constant

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Homework Help Overview

The discussion revolves around the identification and terminology of a mathematical concept related to differentials in calculus. The original poster is seeking the English name for a small unit represented as {f}'(x) h and refers to it as "generation of differential constant."

Discussion Character

  • Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the notation used and the concept of differentials, with one suggesting that it relates to the differential form df = f'(x) dx. Questions about the correct terminology and understanding of the concept are raised.

Discussion Status

The discussion is ongoing, with participants providing insights into the terminology and confirming the validity of the original poster's equation. There is no explicit consensus on the name, but some guidance on the concept of differential forms has been offered.

Contextual Notes

There is a mention of a language barrier, as the original poster knows the term in Finnish but is struggling to find the equivalent in English. The importance of the method as indicated by the professor is also noted.

soopo
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Homework Statement



What is the name of the following very small unit?

[tex]{f}'(x) h[/tex]

The Attempt at a Solution



I know the name in Finnish "Differentiaalikehitelma", but not in English.
However, I have not managed to find help about the method which my professor says is very important.

My suggestion for the name is "generation of differential constant".
However, I have not managed to find any help concerning the unit.
 
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I think what you're talking about is
[tex]df = \frac{df}{dx}dx= f'(x) dx.[/tex]​
If that is what you're talking about, then we'd call a "differential form".
 
foxjwill said:
I think what you're talking about is
[tex]df = \frac{df}{dx}dx= f'(x) dx.[/tex]​
If that is what you're talking about, then we'd call a "differential form".

Your equation makes sense.
What is the name of it?
 
soopo said:
Your equation makes sense.
What is the name of it?

The differential of f.
 

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