Iff(x)=int0^x2|t|dt ,t h e n g(x)=x|x|...

`Iff(x)=int_0^x2|t|dt ,t h e n` `g(x)=x|x|` `g(x)` is monotonic `g(x)` is differentiable at `x=0` `g^(prime)(x)` is differentiable at `x=0`

`g(x)=x|x|`

g(x) is monotonic

g(x) is differentiable at x = 0

g'(x) is differentiable at x = 0

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