DLMF:3.4.E32 (Q1236)

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DLMF:3.4.E32
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    Statements

    test
    ∇ 4 ⁡ u = ∂ 4 ⁡ u ∂ ⁡ x 4 + 2 ⁢ ∂ 4 ⁡ u ∂ 2 ⁡ x ⁢ ∂ 2 ⁡ y + ∂ 4 ⁡ u ∂ ⁡ y 4 . superscript ∇ 4 𝑢 partial-derivative 𝑢 𝑥 4 2 𝑢 4 𝑥 2 𝑦 2 partial-derivative 𝑢 𝑦 4 {\displaystyle{\displaystyle\nabla^{4}u=\frac{{\partial}^{4}u}{{\partial x}^{4% }}+2\frac{{\partial}^{4}u}{{\partial}^{2}x{\partial}^{2}y}+\frac{{\partial}^{4% }u}{{\partial y}^{4}}\,.}}
    0 references
    DLMF id
    DLMF:3.4.E32
    0 references
    Symbols used
    partial derivative of $$f$$ with respect to $$x$$
    test
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4agdec
    0 references
     
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