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

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SUMMARY

The discussion centers on the differentiation of potential functions, specifically using the example of the potential function V = 3x² + 2y². The user seeks clarification on the correct approach to finding the partial derivatives Fx and Fy. It is established that to find Fx, one differentiates 3x² with respect to x and 2y² with respect to y. The conversation also highlights the test for a conservative force, which requires that dFx/dy equals dFy/dx.

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  • Understanding of partial derivatives
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  • Knowledge of conservative forces
  • Basic calculus concepts
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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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