Let f(x)=(f(x))^(2)+(f'(x))^(2),F(0)=0 where f(x) is thrice differentiable function such that |f(x)|le1 for all x in [-1, 1], then choose the correct statement(s)

Let f(x)=(f(x))^(2)+(f'(x))^(2),F(0)=0 where f(x) is thrice differenti

1.	Let f(x)=(f(x))^(2)+(f'(x))^(2),F(0)=0 where f(x) is thrice differentiable function such that \|f(x)\|le1 for all x in [-1, 1], then choose the correct statement(s)
Answer» There is atleast and point in each of the intervals `(-1, 0)` and (0, 1)where `\|f'(x)\|le 2` There is atleast one point in each of the intervals `(-1, 0)` and 0, 1) where `F(x)le5` There is no point of local maxima of F(x) in `(-1, 1)` For some `c in (-1, 1), F(c)GE 6, F'(c) =0 and F''(c) LE0` ANSWER :A::B::D

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Let f(x)=(f(x))^(2)+(f'(x))^(2),F(0)=0 where f(x) is thrice differentiable function such that |f(x)|le1 for all x in [-1, 1], then choose the correct statement(s)

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