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f(x)= {{:(x, 0 <= x <= 1),( 2 - e^(x-1) ...

`f(x)= {{:(x, 0 <= x <= 1),( 2 - e^(x-1) , 1 <= x <= 2), ( x-e , 2 <= x <= 3) :}` `g'(x) = f(x)` , `x in [1,3]` then
(A) `g(x)` has no local maxima
(B) `g(x)` has no local minima
(C) `g(x)` has local maxima at `x=1+ln2` and local minima at `x=e`
(D) `g(x)` has local minima at `x=1+2ln2` and local maxima at `x=e`

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