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For all x in [1, 2] Let f"(x) of a non-c...

For all x in [1, 2] Let `f"(x)` of a non-constant function `f(x)` exist and satisfy `|fprimeprime(x)|<=2.` If `f(1)=f(2)`, then (A) There exist some `a in (1,2)` such that f'(a)=0 (B) f(x) is strictly increasing in (1,2) (C) There exists atleast one `c in (1,2)` such that `f'(c)>0` (D) `|f'(x)| lt 2 AA x in [ 1,2]`

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