 Nondifferentiable inner function with a differentiable nondegenerate composite (source code)

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= Nondifferentiable inner function with a differentiable nondegenerate composite

At zero, $f(x)=\sqrt[3]x$ is not differentiable and $g(y)=y^3$ is differentiable, while $g\circ f(x)=x$ has derivative one.

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