Theorems · Theorem · real analysis
Real.hasStrictDerivAt_const_rpow
∀ {a : ℝ}, 0 < a → ∀ (x : ℝ), HasStrictDerivAt (fun x => a ^ x) (a ^ x * Real.log a) x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- MulZeroClass.zero_mulproof · cited by 1,625
- Real.logstatement and proof · cited by 939
- HasStrictDerivAtstatement · cited by 163
- HasStrictDerivAt.congr_simpproof · cited by 41
- hasStrictDerivAt_constproof · cited by 16
- hasStrictDerivAt_idproof · cited by 14
- HasStrictDerivAt.rpowproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- HasFDerivWithinAt.const_rpowproof · cited by 0
- HasFDerivAt.const_rpowproof · cited by 0
- HasStrictFDerivAt.const_rpowproof · cited by 0