∀ {𝕜 : Type u_1} {𝔸 : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedCommRing 𝔸]
  [inst_2 : NormedAlgebra 𝕜 𝔸] {f : 𝕜 → 𝔸} {f' : 𝔸} {x : 𝕜},
  HasStrictDerivAt f f' x → ∀ (n : ℕ), HasStrictDerivAt (f ^ n) (↑n * f x ^ (n - 1) * f') x