DLMF:22.19.E4 (Q7178): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
Defining formula:

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

\deriv{\NVar{f}}{\NVar{x}}
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S4.E4.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12037 / rank
 
Normal rank
Property / Symbols used: Q12037 / qualifier
 
Defining formula:

V ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}}

V(x)
Property / Symbols used: Q12037 / qualifier
 
xml-id: C22.S19.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q12038 / rank
 
Normal rank
Property / Symbols used: Q12038 / qualifier
 
Defining formula:

x ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}}

x(t)
Property / Symbols used: Q12038 / qualifier
 
xml-id: C22.S19.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12039 / rank
 
Normal rank
Property / Symbols used: Q12039 / qualifier
 
Defining formula:

t 𝑡 {\displaystyle{\displaystyle t}}

t
Property / Symbols used: Q12039 / qualifier
 
xml-id: C22.S19.XMD6.m1dec

Latest revision as of 15:39, 2 January 2020

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DLMF:22.19.E4
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    Statements

    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:22.19.E4
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2aadec
    0 references
    V ( x ) 𝑉 𝑥 {\displaystyle{\displaystyle V(x)}}
    C22.S19.XMD4.m1dec
    0 references
    x ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}}
    C22.S19.XMD5.m1dec
    0 references
    t 𝑡 {\displaystyle{\displaystyle t}}
    C22.S19.XMD6.m1dec
    0 references