Theorems · Theorem · real analysis

Differentiable.log

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f : E → ℝ},
  Differentiable ℝ f → (∀ (x : E), f x ≠ 0) → Differentiable ℝ fun x => Real.log (f x)

Defined in: Mathlib.Analysis.SpecialFunctions.Log.Deriv
Cited by: 0 results in Mathlib
Foundations: Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace

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Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
NormedSpacestatement and proof · cited by 12,499
Real.logstatement · cited by 939
Differentiablestatement and proof · cited by 298
DifferentiableAt.logproof · cited by 10

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