For one dimensional motion, the force F(x) and the potential energy U(x) are related as:

1
\(F(x)=\dfrac{-dU(x)}{dx}\)
2
\(F(x)=\dfrac{dU(x)}{dx}\)
3
\(U(x)=\dfrac{dF(x)}{dx}\)
4
\(U(x)=\dfrac{-dF(x)}{dx}\)

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