Is y'(x) a Valid Notation for a Derivative Function?

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Homework Help Overview

The discussion revolves around the notation of derivatives in calculus, specifically questioning the validity of using y'(x) as a representation for the derivative of a function y(x).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the meaning of y, y(x), and y'(x), questioning the conventions of notation and the implications of using the apostrophe mark. There is a discussion on whether y'(x) appropriately represents the first derivative of y(x) with respect to x.

Discussion Status

The conversation is ongoing, with various interpretations of the notation being examined. Some participants express no issues with y'(x), while others seek clarification on its meaning and context.

Contextual Notes

There is uncertainty regarding the definitions of y and y(x), as well as the implications of using y' versus y'(x). Participants are navigating these assumptions without reaching a consensus.

Dramacon
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This is just me being pedantic :)
 
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Dramacon said:
This is just me being pedantic :)
I don't see anything wrong with it.
 
Dramacon said:
This is just me being pedantic :)

Acceptable notation for what?
 
Dick said:
Acceptable notation for what?
That thought occurred to me as well.
 
Unclear. What is y ? What is y(x) ? What is y'(x)?

The apostrophe mark may mean either, "the other specified...", or it may mean, "first derivative of...".

If you are giving your function the variable name of y(x), then most likely one would use y'(x) to mean, the first derivative of y(x) with respect to x.
 
I don't see anything wrong with y'(x), but I guess it depends on whether you had something non-standard in mind.

symbolipoint said:
If you are giving your function the variable name of y(x),
I have never been a fan of calling y(x) a function. y is the function. y(x) is a number in the range of y. y' is the derivative of y. y'(x) is the value of y' at x, and also the derivative of y at x.
 
Last edited:

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