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Let f be a twice differentiable fu...

Let `f` be a twice differentiable function on [0,2] such that `f(0)=0,f(1)=2,f(2)=4,` then prove that `f^(prime)(alpha)=2\ for\ som e\ alpha\ in (0,1)` `f^(prime)(beta)=2\ for\ som e\ beta\ in (1,2)` `f' '(gamma)=0\ for\ som e\ gamma\ in (0,2)`

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