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Theorems · Theorem · real analysis

HasDerivAt.cpow_const

∀ {f : ℂ → ℂ} {f' x c : ℂ},
  HasDerivAt f f' x → f x ∈ Complex.slitPlane → HasDerivAt (fun x => f x ^ c) (c * f x ^ (c - 1) * f') x
Defined in
Mathlib.Analysis.SpecialFunctions.Pow.Deriv
Cited by
5 results in Mathlib
Foundations
Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound

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