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3.8.E13 - MaRDI portal

3.8.E13 (Q1352)

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3.8.E13
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    Statements

    DLMF defining formula
    d z d α = - ∂ ⁡ f ∂ ⁡ α / ∂ ⁡ f ∂ ⁡ z . derivative 𝑧 𝛼 partial-derivative 𝑓 𝛼 partial-derivative 𝑓 𝑧 {\displaystyle{\displaystyle\frac{\mathrm{d}z}{\mathrm{d}\alpha}=-\ifrac{\frac% {\partial f}{\partial\alpha}}{\frac{\partial f}{\partial z}}.}}
    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.m2adec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    DLMF defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4adec
    0 references
    partial differential of $$x$$
    DLMF defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2adec
    0 references
    parameter
    DLMF defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C3.S8.XMD7.m1dec
    0 references
     
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