Theorems · Theorem · real analysis
HasDerivAt.log
∀ {f : ℝ → ℝ} {x f' : ℝ}, HasDerivAt f f' x → f x ≠ 0 → HasDerivAt (fun y => Real.log (f y)) (f' / f x) x- Cited by
- 4 results in Mathlib
- Foundations
- Depth 205 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.logproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- deriv.logproof · cited by 5
- Real.abs_log_sub_add_sum_range_leproof · cited by 4
- Real.hasDerivAt_half_log_one_add_div_one_sub_sub_sum_rangeproof · cited by 2
- not_intervalIntegrable_of_sub_inv_isBigO_puncturedproof · cited by 2