Theorems · Theorem · real analysis
HasStrictDerivAt.arsinh
∀ {f : ℝ → ℝ} {a f' : ℝ},
HasStrictDerivAt f f' a → HasStrictDerivAt (fun x => Real.arsinh (f x)) ((√(1 + f a ^ 2))⁻¹ • f') a- Defined in
- Mathlib.Analysis.SpecialFunctions.Arsinh
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.sqrtstatement · cited by 545
- HasStrictDerivAtstatement and proof · cited by 163
- Real.arsinhstatement · cited by 55
- HasStrictDerivAt.compproof · cited by 20
- Real.hasStrictDerivAt_arsinhproof · cited by 3
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