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DLMF:4.7.E10 - MaRDI portal

DLMF:4.7.E10 (Q1653)

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DLMF:4.7.E10
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    Statements

    DLMF defining formula
    d d z ⁡ z a = a ⁢ z a - 1 , derivative 𝑧 superscript 𝑧 𝑎 𝑎 superscript 𝑧 𝑎 1 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}z^{a}=az^{a-1},}}
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    DLMF 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.m2ahdec
    0 references
    real or complex constant
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C4.S1.XMD4.m1bdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1idec
    0 references
     
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