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Formula:7871

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Digital Library of Mathematical Functions ID 22.19.E4

d 2 x ⁢ ( t ) d t 2 = - d V ⁢ ( x ) d x , derivative 𝑥 𝑡 𝑡 2 derivative 𝑉 𝑥 𝑥 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}x(t)}{{\mathrm{d}t}^{2}}=-% \frac{\mathrm{d}V(x)}{\mathrm{d}x},}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}} : potential energy
  • x ⁢ ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}} : coordinate
  • t 𝑡 {\displaystyle{\displaystyle t}} : time
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This page was last edited on 28 January 2024, at 10:02.
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