DLMF:1.5.E19 (Q142)

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DLMF:1.5.E19
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    Statements

    Defining formula
    ∂ ⁡ f ∂ ⁡ x = ∂ ⁡ f ∂ ⁡ y = 0    at  ( a , b ) , formulae-sequence partial-derivative 𝑓 𝑥 partial-derivative 𝑓 𝑦 0  at  ( a , b ) , {\displaystyle{\displaystyle\frac{\partial f}{\partial x}=\frac{\partial f}{% \partial y}=0\quad\mbox{ at $(a,b)$,}}}
    0 references
    DLMF id
    DLMF:1.5.E19
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    Symbols used
    Q10777
    Defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6aadec
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    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4aldec
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    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2amdec
    0 references
     
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