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Theorems · Theorem · real analysis

HasStrictDerivAt.cpow_const

∀ {f : ℂ → ℂ} {f' x c : ℂ},
  HasStrictDerivAt f f' x → f x ∈ Complex.slitPlane → HasStrictDerivAt (fun x => f x ^ c) (c * f x ^ (c - 1) * f') x
Defined in
Mathlib.Analysis.SpecialFunctions.Pow.Deriv
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Foundations
Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetComplex · cited by 5565ComplexHasStrictDerivAt · cited by 163HasStrictDerivAtComplex.slitPlane · cited by 113Complex.slitPlaneHasStrictDerivAt.comp · cited by 20HasStrictDerivAt.compComplex.hasStrictDerivAt_cpow_const · cited by 5Complex.hasStrictDerivAt_…HasStrictDerivAt.cpow_constCITED BYCITES

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