I have a few questions about partial derivatives and potential functions.

AI Thread Summary
The discussion centers on understanding how to compute partial derivatives for potential functions, specifically using the example of V = 3x^2 + 2y^2. The user is seeking clarification on whether to differentiate the x component with respect to x and the y component with respect to y, or to switch the variables. They reference the test for a conservative force, which states that dFx/dy should equal dFy/dx. This indicates a need for clarity on when to apply each differentiation method in the context of conservative forces. The conversation highlights the importance of understanding the relationship between potential functions and their derivatives in physics.
vande060
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Homework Statement



I have no homework problem to ask, but rather a general question.

Ill give and example of a potential function V = 3x^2 + 2y^2

i know to find Fx i have to differentiate 3x^2 with respect to x and 2y^2 with respect to y. But i have seen cases where someone takes the x component and differentiates with respect to y and the y component with respect to x. how do you know which one to use?



Homework Equations





The Attempt at a Solution

 
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maybe i am just confusing the test for a force to be conservative

test for conservative: dFx/dy = dFy/dx
 

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