Theorems · Theorem · real analysis

logDeriv_fun_zpow

∀ {𝕜 : Type u_1} {𝕜' : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NontriviallyNormedField 𝕜']
  [inst_2 : NormedAlgebra 𝕜 𝕜'] {f : 𝕜 → 𝕜'} {x : 𝕜},
  DifferentiableAt 𝕜 f x → ∀ (n : ℤ), logDeriv (fun x => f x ^ n) x = ↑n * logDeriv f x

Defined in

Mathlib.Analysis.Calculus.LogDeriv

Cited by

4 results in Mathlib

Foundations

Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNontriviallyNormedFieldNormedAlgebra