DLMF:2.7.E24 (Q918): 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
 
test:

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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1abdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3abdec
Property / Symbols used
 
Property / Symbols used: Q11061 / rank
 
Normal rank
Property / Symbols used: Q11061 / qualifier
 
test:

F 𝐹 {\displaystyle{\displaystyle F}}

F
Property / Symbols used: Q11061 / qualifier
 
xml-id: C2.S7.XMD23.m1adec

Latest revision as of 16:22, 1 January 2020

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DLMF:2.7.E24
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    Statements

    F ( x ) = ( 1 f 1 / 4 d 2 d x 2 ( 1 f 1 / 4 ) - g f 1 / 2 ) d x , 𝐹 𝑥 1 superscript 𝑓 1 4 derivative 𝑥 2 1 superscript 𝑓 1 4 𝑔 superscript 𝑓 1 2 𝑥 {\displaystyle{\displaystyle F(x)=\int\left(\frac{1}{f^{1/4}}\frac{{\mathrm{d}% }^{2}}{{\mathrm{d}x}^{2}}\left(\frac{1}{f^{1/4}}\right)-\frac{g}{f^{1/2}}% \right)\mathrm{d}x,}}
    0 references
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    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2abdec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1abdec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3abdec
    0 references
    F 𝐹 {\displaystyle{\displaystyle F}}
    C2.S7.XMD23.m1adec
    0 references