Theorems · Theorem · real analysis
HasDerivAt.const_rpow
∀ {f : ℝ → ℝ} {f' x a : ℝ}, 0 < a → HasDerivAt f f' x → HasDerivAt (fun x => a ^ f x) (Real.log a * f' * a ^ f x) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 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
- Real.logstatement · cited by 939
- HasDerivAtstatement and proof · cited by 493
- hasDerivWithinAt_univproof · cited by 18
- HasDerivWithinAt.const_rpowproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- deriv_const_rpowproof · cited by 1