Theorems · Theorem · real analysis
Real.hasDerivAt_mul_log
∀ {x : ℝ}, x ≠ 0 → HasDerivAt (fun x => x * Real.log x) (Real.log x + 1) x- Cited by
- 5 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 939
- HasDerivAtstatement and proof · cited by 493
- DifferentiableOn.differentiableAtproof · cited by 26
- Real.deriv_mul_logproof · cited by 4
- hasDerivAt_deriv_iffproof · cited by 2
- Real.differentiableOn_mul_logproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- InformationTheory.hasDerivAt_klFunproof · cited by 3
- intervalIntegral.intervalIntegrable_log'proof · cited by 2
- integral_log_from_zero_of_posproof · cited by 1
- Real.rightDeriv_mul_logproof · cited by 1
- Real.leftDeriv_mul_logproof · cited by 0