Theorems · Theorem · real analysis
HasStrictDerivAt.sqrt
∀ {f : ℝ → ℝ} {f' x : ℝ}, HasStrictDerivAt f f' x → f x ≠ 0 → HasStrictDerivAt (fun t => √(f t)) (f' / (2 * √(f x))) x- Defined in
- Mathlib.Analysis.SpecialFunctions.Sqrt
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- mul_oneproof · cited by 3,885
- Real.sqrtstatement and proof · cited by 545
- HasStrictDerivAtstatement and proof · cited by 163
- div_eq_inv_mulproof · cited by 146
- HasStrictDerivAt.congr_simpproof · cited by 41
- HasStrictDerivAt.compproof · cited by 20
- Real.hasStrictDerivAt_sqrtproof · cited by 3
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