MHB Average Rate Of Change Formula

Click For Summary
The average rate of change formula is expressed as \(\frac{\Delta f}{\Delta x} = \frac{f(b)-f(a)}{b-a}\). There is debate over the correct symbol to use, with some arguing that the notation \(\overline{\triangle}\) is also acceptable. The consensus suggests that while there is a standard symbol, any notation can be valid if properly defined. Ultimately, the emphasis is on clarity and consistency in notation rather than strict adherence to one symbol. Defining your notation is key to effective communication in mathematical contexts.
bwpbruce
Messages
60
Reaction score
1
Is this the correct symbol to use for average rate of change:
[math]\overline{\triangle}=\dfrac{f(b)-f(a)}{b-a} [/math]
 
Mathematics news on Phys.org
The correct notation for average rate of change is:
$$\frac{\Delta f}{\Delta x} = \frac{f(b)-f(a)}{b-a}$$
 
I would say that Greg's example is the "standard" or "usual" symbol for rate of change and that there is no "correct" symbol for anything! As long as you define your notation, there is no "incorrect" notation.
 

Similar threads

MHB Calculating New Emission Rate of Radioactive Source
  • · Replies 3 ·
Replies
3
Views
3K
MHB What Are the Solutions to the System of Inequalities for Target Heart Rate?
  • · Replies 3 ·
Replies
3
Views
1K
B Difference Quotient vs ARC of a Function
  • · Replies 8 ·
Replies
8
Views
3K
MHB Determine the Average Rate of Change
  • · Replies 3 ·
Replies
3
Views
3K
I Calculating Collection Rate Error in Labs
  • · Replies 31 ·
2
Replies
31
Views
2K
MHB Average rate of change in the function from x1 to x2
  • · Replies 5 ·
Replies
5
Views
3K
MHB Population formula part 1: Birth
  • · Replies 2 ·
Replies
2
Views
2K
I Change of variables clarification
  • · Replies 5 ·
Replies
5
Views
2K
MHB Simple Distance, Rate, Time Problem
  • · Replies 6 ·
Replies
6
Views
1K
MHB Effective Rate of Interest
  • · Replies 2 ·
Replies
2
Views
2K