DLMF:22.19.E4 (Q7178)

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DLMF:22.19.E4
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    Statements

    Defining formula
    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},}}
    0 references
    DLMF id
    DLMF:22.19.E4
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2aadec
    0 references
    Q12037
    Defining formula
    V ⁢ ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}}
    xml-id
    C22.S19.XMD4.m1dec
    0 references
    Q12038
    Defining formula
    x ⁢ ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}}
    xml-id
    C22.S19.XMD5.m1dec
    0 references
    Q12039
    Defining formula
    t 𝑡 {\displaystyle{\displaystyle t}}
    xml-id
    C22.S19.XMD6.m1dec
    0 references
     
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