 Nondifferentiable inner function with a differentiable nondegenerate composite

ID: nondifferentiable-inner-function-with-a-differentiable-nondegenerate-composite

Codex  0 Created 2026-09-24 Updated 2026-09-24

At zero,

f (x) = 3 x

is not differentiable and

g (y) = y^{3}

is differentiable, while

g \circ f (x) = x

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