Theorems · Theorem · real analysis
Complex.deriv_const_cpow
∀ {f : ℂ → ℂ} {x : ℂ},
DifferentiableAt ℂ f x → ∀ (c : ℂ), deriv (fun x => c ^ f x) x = Complex.log c * deriv f x * c ^ f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- derivstatement and proof · cited by 676
- DifferentiableAtstatement and proof · cited by 617
- Complex.logstatement and proof · cited by 187
- differentiableWithinAt_univproof · cited by 14
- derivWithin_univproof · cited by 11
- Complex.derivWithin_const_cpowproof · cited by 1
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