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Theorems · Theorem · real analysis

Real.differentiableAt_rpow_of_ne

∀ (p : ℝ × ℝ), p.1 ≠ 0 → DifferentiableAt ℝ (fun p => p.1 ^ p.2) p
Defined in
Mathlib.Analysis.SpecialFunctions.Pow.Deriv
Cited by
2 results in Mathlib
Foundations
Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DifferentiableAt.rpow · cited by 2DifferentiableAt.rpowDifferentiableWithinAt.rpow · cited by 1DifferentiableWithinAt.rp…Real · cited by 25697Realone_ne_zero · cited by 885one_ne_zeroDifferentiableAt · cited by 617DifferentiableAtContDiffAt.differentiableAt · cited by 14ContDiffAt.differentiable…Real.contDiffAt_rpow_of_ne · cited by 4Real.contDiffAt_rpow_of_neReal.differentiableAt_rpow_of…CITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.