DLMF:4.24.E12 (Q1806)

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DLMF:4.24.E12
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    Statements

    Defining formula
    d d z ⁡ arccot ⁡ z = - 1 1 + z 2 . derivative 𝑧 𝑧 1 1 superscript 𝑧 2 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{arccot% }z=-\frac{1}{1+z^{2}}.}}
    0 references
    DLMF id
    DLMF:4.24.E12
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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.m2aedec
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    arccotangent function
    Defining formula
    arccot ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccot}\NVar{z}}}
    xml-id
    C4.S23.E9.m2adec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1jdec
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