Theorems · Theorem · real analysis
deriv_arctan
∀ {f : ℝ → ℝ} {x : ℝ}, DifferentiableAt ℝ f x → deriv (fun x => Real.arctan (f x)) x = 1 / (1 + f x ^ 2) * deriv f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- derivstatement · cited by 676
- DifferentiableAtstatement and proof · cited by 617
- HasDerivAt.derivproof · cited by 147
- DifferentiableAt.hasDerivAtproof · cited by 114
- Real.arctanstatement · cited by 111
- HasDerivAt.arctanproof · cited by 1
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