DLMF:4.7.E2 (Q1578): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: general logarithm function / rank
 
Normal rank
Property / Symbols used: general logarithm function / qualifier
 
Defining formula:

Ln z multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}

\Ln@@{\NVar{z}}
Property / Symbols used: general logarithm function / qualifier
 
xml-id: C4.S2.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1adec

Latest revision as of 18:09, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.7.E2
No description defined

    Statements

    d d z Ln z = 1 z , derivative 𝑧 multivalued-natural-logarithm 𝑧 1 𝑧 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{Ln}z=% \frac{1}{z},}}
    0 references
    DLMF:4.7.E2
    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
    Ln z multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}
    C4.S2.E1.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1adec
    0 references