Theorems · Theorem · real analysis
HasDerivAt.arctan
∀ {f : ℝ → ℝ} {f' x : ℝ}, HasDerivAt f f' x → HasDerivAt (fun x => Real.arctan (f x)) (1 / (1 + f x ^ 2) * f') x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- HasDerivAtstatement and proof · cited by 493
- Real.arctanstatement · cited by 111
- HasDerivAt.compproof · cited by 43
- Real.hasDerivAt_arctanproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- deriv_arctanproof · cited by 0