Theorems · Theorem · real analysis
Real.deriv2_mul_log
∀ (x : ℝ), deriv^[2] (fun x => x * Real.log x) x = x⁻¹
- 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.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Real.logstatement and proof · cited by 939
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- inv_zeroproof · cited by 184
- deriv_zero_of_not_differentiableAtproof · cited by 34
- DifferentiableAt.continuousAtproof · cited by 28
Cited by2
Results whose statement or proof uses this declaration.
- Real.strictConvexOn_mul_logproof · cited by 3
- Real.deriv2_negMulLogproof · cited by 0