Potential Energy: Differentiating to Find Force

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SUMMARY

The discussion centers on differentiating potential energy to find force, specifically using the equation F = dU/dx. The derivative of the potential energy function U(x) = 3x^3 - 7x yields dU/dx = 9x^2 - 7, which raises questions about the inclusion of negative values and the y-component in the differentiation process. Participants emphasize the importance of adhering to the correct mathematical framework and using the appropriate homework template to clarify relevant equations.

PREREQUISITES
  • Understanding of calculus, specifically differentiation
  • Familiarity with potential energy concepts in physics
  • Knowledge of vector components in force analysis
  • Ability to apply the equation F = dU/dx
NEXT STEPS
  • Review calculus differentiation techniques for functions of multiple variables
  • Study the relationship between potential energy and force in physics
  • Learn about vector components and their significance in force calculations
  • Examine examples of potential energy functions and their derivatives
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Students in physics and mathematics, educators teaching calculus and mechanics, and anyone looking to deepen their understanding of the relationship between potential energy and force.

omarMihilmy
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To find the force we will differentiate the function with respect to x (dx)
My problem is with the solution
If we differentiate:
dU/dx = 9x^2 - 7

From where does the negative come from also the j component?
 
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You should have used the homework template, then you have written the relevant equations. What equation is relevant for finding force from potential energy?
 
F = dU/dx
 
That is not correct.
 
Correct me if I am wrong
 
Why are you disregarding the y-component when you differentiate?
 

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