Are there any "smooth-looking" functions that are not infinitely differentiable? By "smooth-looking", I refer to the nature of the plotted graph of the function. Thanks.
2026-05-05 05:16:48.1777958208
Only finitely differentiable smooth curve
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The function $f(x)=x^{\frac{1}{3}}$ is not even $C^1$. (It's an auto-homeomorphism of $\mathbb{R}$, though!)