Do I need Schwarz's theorem to prove the mixed partial derivatives?

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
SANGHERA.JAS
Messages
50
Reaction score
0
Do I need to use Schwarz's or Young's theorems to prove it, if don't then do I need to evaluate them on (0,0) using definition.
 

Attachments

Discussion

Physics news on Phys.org
I would start by taking the mixed partials (fxy and fxy) for each of the given functions, and evaluating these partials at the origin.
 

Similar threads

Undergrad Can Schwarz's Theorem be used "Backwards" to prove continuity?

  • Feymar
  • · Replies 21 ·
  • Calculus
Replies
21

Does Schwarz's theorem imply continuity at a point?

  • Felafel
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2

Undergrad Understanding Mixed Partial Derivatives: How Do You Solve Them?

  • atomicpedals
  • · Replies 3 ·
  • Calculus
Replies
3

Mixed partial derivatives of z = √(3x/y)

  • Needhelp2013
  • · Replies 13 ·
  • Calculus and Beyond Homework Help
Replies
13

What do mixed partial derivatives fxy and fyx mean?

  • theBEAST
  • · Replies 7 ·
  • Calculus and Beyond Homework Help
Replies
7

Undergrad Calculate partial derivatives and mixed partial derivatives

  • dyn
  • · Replies 4 ·
  • Calculus
Replies
4

Undergrad What is the mixed partial derivative theorem for exact differential forms?

  • Drakkith
  • · Replies 7 ·
  • Differential Equations
Replies
7

Graduate Calculating mixed partial derivatives on a 3D mesh

  • KareemErgawy
  • · Replies 6 ·
  • Differential Geometry
Replies
6

Estimating mixed partial derivative fxy from a table of values

  • kidzonety
  • · Replies 1 ·
  • Calculus and Beyond Homework Help
Replies
1

Graduate Proof of equality of mixed partial derivatives

  • Happiness
  • · Replies 7 ·
  • Calculus
Replies
7