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Formula:115

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Digital Library of Mathematical Functions ID 1.5.E21

∂ 2 ⁡ f ∂ ⁡ x 2 ⁢ ∂ 2 ⁡ f ∂ ⁡ y 2 - ( ∂ 2 ⁡ f ∂ ⁡ x ⁢ ∂ ⁡ y ) 2 > 0    at  ( a , b ) . partial-derivative 𝑓 𝑥 2 partial-derivative 𝑓 𝑦 2 superscript 𝑓 2 𝑥 𝑦 2 0  at  ( a , b ) {\displaystyle{\displaystyle\frac{{\partial}^{2}f}{{\partial x}^{2}}\frac{{% \partial}^{2}f}{{\partial y}^{2}}-\left(\frac{{\partial}^{2}f}{\partial x% \partial y}\right)^{2}>0\quad\mbox{ at $(a,b)$}.}}


Constraint(s)

Symbols List

  • ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}} :
  • ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}} : partial derivative of $$f$$ with respect to $$x$$
  • ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}} : partial differential of $$x$$
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:29.
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