Theorems · Theorem · special functions
fderivWithin_exp
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {f : E → ℝ} {x : E} {s : Set E},
DifferentiableWithinAt ℝ f s x →
UniqueDiffWithinAt ℝ s x → fderivWithin ℝ (fun x => Real.exp (f x)) s x = Real.exp (f x) • fderivWithin ℝ f s x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ContinuousLinearMapstatement · cited by 5,352
- Real.expstatement · cited by 871
- DifferentiableWithinAtstatement and proof · cited by 453
- fderivWithinstatement · cited by 357
- UniqueDiffWithinAtstatement and proof · cited by 252
- DifferentiableWithinAt.hasFDerivWithinAtproof · cited by 132
- HasFDerivWithinAt.fderivWithinproof · cited by 69
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