Theorems · Theorem · real analysis
HasStrictDerivAt.arctan
∀ {f : ℝ → ℝ} {f' x : ℝ},
HasStrictDerivAt f f' x → HasStrictDerivAt (fun x => Real.arctan (f x)) (1 / (1 + f x ^ 2) * f') x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- HasStrictDerivAtstatement and proof · cited by 163
- Real.arctanstatement · cited by 111
- HasStrictDerivAt.compproof · cited by 20
- Real.hasStrictDerivAt_arctanproof · cited by 3
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