Theorems · Theorem · real analysis
Real.deriv_inv_log_apply
∀ {x : ℝ}, deriv (fun x => (Real.log x)⁻¹) x = -x⁻¹ / Real.log x ^ 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- neg_negproof · cited by 960
- Real.logstatement and proof · cited by 939
- derivstatement · cited by 676
- DifferentiableAtproof · cited by 617
- neg_zeroproof · cited by 542
- zero_powproof · cited by 361
- inv_oneproof · cited by 301
- div_zeroproof · cited by 251
- inv_zeroproof · cited by 184
- Real.log_oneproof · cited by 91
- Real.log_zeroproof · cited by 84
Cited by2
Results whose statement or proof uses this declaration.
- Real.deriv_inv_logproof · cited by 4
- Chebyshev.primeCounting_eq_theta_div_log_add_integralproof · cited by 2