Theorems · Theorem · real analysis
HasDerivAt.cos
∀ {f : ℝ → ℝ} {f' x : ℝ}, HasDerivAt f f' x → HasDerivAt (fun x => Real.cos (f x)) (-Real.sin (f x) * f') x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- HasDerivAtstatement and proof · cited by 493
- Real.cosstatement · cited by 424
- Real.sinstatement · cited by 389
- HasDerivAt.compproof · cited by 43
- Real.hasDerivAt_cosproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- deriv_cosproof · cited by 0