Theorems · Theorem · real analysis
HasStrictDerivAt.const_cpow
∀ {f : ℂ → ℂ} {f' x c : ℂ},
HasStrictDerivAt f f' x → c ≠ 0 ∨ f x ≠ 0 → HasStrictDerivAt (fun x => c ^ f x) (c ^ f x * Complex.log c * f') x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Complex.logstatement · cited by 187
- HasStrictDerivAtstatement and proof · cited by 163
- HasStrictDerivAt.compproof · cited by 20
- Complex.hasStrictDerivAt_const_cpowproof · cited by 6
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