Theorems · Theorem · real analysis
Real.deriv_mul_log
∀ {x : ℝ}, x ≠ 0 → deriv (fun x => x * Real.log x) x = Real.log x + 1- Cited by
- 4 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.
Cites8
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
- Real.logstatement and proof · cited by 939
- derivstatement · cited by 676
- mul_inv_cancel₀proof · cited by 210
- deriv_id''proof · cited by 22
- deriv_fun_mulproof · cited by 15
- Real.deriv_log'proof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Real.hasDerivAt_mul_logproof · cited by 5
- Real.deriv2_mul_logproof · cited by 2
- Real.deriv_negMulLogproof · cited by 2
- Real.tendsto_deriv_mul_log_atTopproof · cited by 0