Theorems · Theorem · real analysis
Real.hasDerivAt_sqrt
∀ {x : ℝ}, x ≠ 0 → HasDerivAt (fun x => √x) (1 / (2 * √x)) x- Defined in
- Mathlib.Analysis.SpecialFunctions.Sqrt
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 207 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.sqrtstatement · cited by 545
- HasDerivAtstatement · cited by 493
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- Real.hasStrictDerivAt_sqrtproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- HasFDerivWithinAt.sqrtproof · cited by 2
- HasFDerivAt.sqrtproof · cited by 2
- hasDerivAt_sqrt_mul_logproof · cited by 1
- deriv2_sqrt_mul_logproof · cited by 1
- HasDerivAt.sqrtproof · cited by 1
- HasDerivWithinAt.sqrtproof · cited by 1