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    $f(t) = \int_{0}^{t} [x] dx$,

where $[x]$ denotes the largest integer less than or equal to $x$.

(i)  Determine all the real numbers $t$ at which $f$ is differentiable.

(ii) Determine all the real numbers $t$ at which $f$ is continuous but not differentiable.
asked Nov 25, 2017 by randomisation (1,920 points)  

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