Theorems · Theorem · real analysis
deriv_pow_field
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {x : 𝕜} (n : ℕ), deriv (fun x => x ^ n) x = ↑n * x ^ (n - 1)- Defined in
- Mathlib.Analysis.Calculus.Deriv.Pow
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 189 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.
Cites5
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
- derivstatement · cited by 676
- deriv_id''proof · cited by 22
- deriv_fun_powproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- jacobiTheta₂'_functional_equationproof · cited by 1
- strictConvexOn_powproof · cited by 0
- Even.strictConvexOn_powproof · cited by 0