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DLMF:4.38.E14 - MaRDI portal

DLMF:4.38.E14 (Q2409)

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DLMF:4.38.E14
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    Statements

    DLMF defining formula
    d d z ⁡ arccoth ⁡ z = 1 1 - z 2 . derivative 𝑧 hyperbolic-inverse-cotangent 𝑧 1 1 superscript 𝑧 2 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{% arccoth}z=\frac{1}{1-z^{2}}.}}
    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.m2aedec
    0 references
    inverse hyperbolic cotangent function
    DLMF defining formula
    arccoth ⁡ z hyperbolic-inverse-cotangent 𝑧 {\displaystyle{\displaystyle\operatorname{arccoth}\NVar{z}}}
    xml-id
    C4.S37.E9.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1ldec
    0 references

    Identifiers

     
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