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Theorems ยท Theorem ยท real analysis

derivWithin_div

โˆ€ {๐•œ : Type u} [inst : NontriviallyNormedField ๐•œ] {x : ๐•œ} {s : Set ๐•œ} {๐•œ' : Type u_1}
  [inst_1 : NontriviallyNormedField ๐•œ'] [inst_2 : NormedAlgebra ๐•œ ๐•œ'] {c d : ๐•œ โ†’ ๐•œ'},
  DifferentiableWithinAt ๐•œ c s x โ†’
    DifferentiableWithinAt ๐•œ d s x โ†’
      d x โ‰  0 โ†’ derivWithin (c / d) s x = (derivWithin c s x * d x - c x * derivWithin d s x) / d x ^ 2
Defined in
Mathlib.Analysis.Calculus.Deriv.Inv
Cited by
0 results in Mathlib
Foundations
Depth 188 from the axioms ยท uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNontriviallyNormedFieldNormedAlgebra
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Set ยท cited by 53352SetNontriviallyNormedField ยท cited by 8742NontriviallyNormedFieldNormedAlgebra ยท cited by 1165NormedAlgebraDifferentiableWithinAt ยท cited by 453DifferentiableWithinAtderivWithin ยท cited by 258derivWithinderivWithin_fun_div ยท cited by 1derivWithin_fun_divderivWithin_divCITED BYCITES

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