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Real function/x times modulus x/Differentiable, derivative not/Exercise
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Prove that the function
R
⟶
R
,
x
⟼
x
|
x
|
,
{\displaystyle \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto x\vert {x}\vert ,}
is differentiable but not twice differentiable.
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