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Formula:101

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Digital Library of Mathematical Functions ID 1.5.E11

∂ ∂ ⁡ x = cos ⁡ ϕ ⁢ ∂ ∂ ⁡ r - sin ⁡ ϕ r ⁢ ∂ ∂ ⁡ ϕ partial-derivative 𝑥 italic-ϕ partial-derivative 𝑟 italic-ϕ 𝑟 partial-derivative italic-ϕ {\displaystyle{\displaystyle\frac{\partial}{\partial x}=\cos\phi\frac{\partial% }{\partial r}-\frac{\sin\phi}{r}\frac{\partial}{\partial\phi}}}


Constraint(s)

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • ∂ ⁡ 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 $$x$$
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • ϕ italic-ϕ {\displaystyle{\displaystyle\phi}} : longitude
  • r 𝑟 {\displaystyle{\displaystyle r}} : radius
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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