Discuss the continuity and differenti...

Discuss the continuity and differentiability of `f(x)={1-x ,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x<1(1-x)(2-x),\ \ \ \ 1lt=xlt=2 3-x ,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x >2`

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