Theorems · Theorem · real analysis
Complex.deriv_cpow_const
∀ {x c : ℂ}, x ∈ Complex.slitPlane → deriv (fun x => x ^ c) x = c * x ^ (c - 1)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 214 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.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- derivstatement · cited by 676
- HasDerivAt.derivproof · cited by 147
- Complex.slitPlanestatement and proof · cited by 113
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- Complex.hasStrictDerivAt_cpow_constproof · cited by 5
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