Theorems · Theorem · real analysis
hasStrictDerivAt_pow
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] (n : ℕ) (x : 𝕜),
HasStrictDerivAt (fun x => x ^ n) (↑n * x ^ (n - 1)) x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Pow
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
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.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- mul_oneproof · cited by 3,885
- HasStrictDerivAtstatement · cited by 163
- HasStrictDerivAt.congr_simpproof · cited by 41
- hasStrictDerivAt_idproof · cited by 14
- HasStrictDerivAt.powproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- hasDerivAt_powproof · cited by 8
- Polynomial.hasStrictDerivAtproof · cited by 3
- Real.deriv_sqrt_auxproof · cited by 2
- hasStrictDerivAt_zpowproof · cited by 1