Theorems · Theorem · functional analysis
hasDerivAt_norm_rpow
∀ (x : ℝ) {p : ℝ}, 1 < p → HasDerivAt (fun x => ‖x‖ ^ p) (p * ‖x‖ ^ (p - 2) * x) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- AddCommGroupproof · cited by 12,871
- NontriviallyNormedFieldproof · cited by 8,742
- Norm.normstatement and proof · cited by 5,413
- one_mulproof · cited by 2,841
- absproof · cited by 1,814
- ContinuousSMulproof · cited by 1,016
- HasDerivAtstatement and proof · cited by 493
- smul_applyproof · cited by 229
Cited by1
Results whose statement or proof uses this declaration.
- hasDerivAt_abs_rpowproof · cited by 0