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Differentiability of (|x|), (|x|^2), and (|x|^3) | Calculus Shorts In this short, we compare the differentiability of three important absolute value functions: * (|x|) – Not differentiable at (x = 0) * (|x|^2 = x^2) – Differentiable everywhere * (|x|^3) – Differentiable everywhere, including at (x = 0) Learn why these functions behave ...

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