Theorems · Theorem · real analysis
Real.differentiableAt_rpow_const_of_ne
∀ (p : ℝ) {x : ℝ}, x ≠ 0 → DifferentiableAt ℝ (fun x => x ^ p) x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Realstatement and proof · cited by 25,697
- DifferentiableAtstatement · cited by 617
- HasStrictDerivAt.hasStrictFDerivAtproof · cited by 21
- HasStrictFDerivAt.differentiableAtproof · cited by 2
- Real.hasStrictDerivAt_rpow_const_of_neproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Real.differentiableOn_rpow_constproof · cited by 2
- AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_add_smoothingFnproof · cited by 1
- AkraBazziRecurrence.eventually_deriv_rpow_p_mul_one_sub_smoothingFnproof · cited by 1