DLMF:4.7.E9 (Q1585): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11221 / rank
 
Normal rank
Property / Symbols used: Q11221 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11221 / qualifier
 
xml-id: C4.S1.XMD4.m1adec

Revision as of 18:10, 1 January 2020

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DLMF:4.7.E9
No description defined

    Statements

    Defining formula
    d d z ⁡ a z = a z ⁢ ln ⁡ a , derivative 𝑧 superscript 𝑎 𝑧 superscript 𝑎 𝑧 𝑎 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}a^{z}=a^{z}\ln a,}}
    0 references
    DLMF id
    DLMF:4.7.E9
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    constraint
    a ≠ 0 𝑎 0 {\displaystyle{\displaystyle a\neq 0}}
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    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.m2agdec
    0 references
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2abdec
    0 references
    Q11221
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C4.S1.XMD4.m1adec
    0 references
     
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