Let f:Rto R be a twice continuously diff...

Let `f:Rto R` be a twice continuously differentiable function such that `f(0)=f(1)=f'(0)=0`. Then

`f''(0)=0`

`f''(c )=0" for some "c neR`

if `cne0`, then `f''( c)ne0`

`f'(x)gt0` for all `xne0`

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