Should You Differentiate A_\nu or A_\alpha in Calculus?

  • Thread starter Thread starter Neitrino
  • Start date Start date
  • Tags Tags
    even
Click For Summary
SUMMARY

The discussion centers on the differentiation of the components A_\nu and A_\alpha in the context of multivariate calculus. Participants confirm that both components should be differentiated, emphasizing the application of the product rule due to the nature of the expression being a sum of products. The use of Einstein summation notation and tensor math is acknowledged, though it is suggested that a clearer explanation of the problem would facilitate better assistance. The conclusion is that both A_\nu and A_\alpha require differentiation to achieve accurate results.

PREREQUISITES
  • Understanding of multivariate calculus
  • Familiarity with partial derivatives
  • Knowledge of the product rule in differentiation
  • Basic concepts of tensor notation
NEXT STEPS
  • Study the application of the product rule in multivariable calculus
  • Learn about Einstein summation notation and its implications in tensor calculus
  • Explore the differentiation of tensor components
  • Review examples of multivariate differentiation problems
USEFUL FOR

Students and professionals in mathematics, physics, or engineering who are dealing with multivariate calculus and tensor analysis, particularly those seeking clarity on differentiation techniques.

Neitrino
Messages
133
Reaction score
0
Hi,
I put my question in the attached file... could you please look at it...
it is very simple quiestion...

thank you :shy:
 

Attachments

Physics news on Phys.org
I haven't used the einstein summation notation or done tensor math but I think I know where you're going with this one.

I'll refer to the multivariate case of differentiation from here on in as it looks like you're trying to accomplish something similar.

The partial derivatives you calculated seem correct so I'm not quite sure what you want to do with it. The question I think is not specific enough but I probably don't understand why your are doing what you're trying to do.

Expand the whole thing out without use of tensor notation and give us a reason behind the problem and I'll probably have a chance of helping you.
 
You are asking whether you should differentiate [itex]A_\nu[/itex] or [itex]A_\alpha[/itex] aren't you? You should differentiate both. This is a product (more correctly, a sum of products) so use the product rule.
 

Similar threads

  • · Replies 19 ·
Replies
19
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
Replies
27
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 30 ·
2
Replies
30
Views
8K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K