What does 2nd ord pde tell you? like fxx(x,y)

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Discussion Overview

The discussion revolves around the implications of second-order partial derivatives, specifically in the context of functions of two variables. Participants explore the relationships between a function and its derivatives, as well as potential graphical representations.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • Some participants suggest that second-order partial derivatives indicate how a function and its first and second derivatives are interconnected.
  • One participant inquires about graphical representations of second-order partial derivatives.
  • Another participant proposes that assigning values to the variables x and y could facilitate drawing the function.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants express different aspects of understanding without resolving the questions posed.

brandy
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pure and mixed, what do they tell you about a function?
 
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? Exactly what they say- they tell you about how the function, and its first and second derivatives, are related. If not that I don't know what you are looking for.
 
is there a graphical representation of what it looks like?
 
give values to x and y, and draw it.
 

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