1.

Let F (x) = (f (x ))^(2) + (f' (x ))^(2), F (0) =6, whtere f (x) is a thrice differentiable function such that|f (x) || le 1 AA x in [-1, 1],then choose the correct statement (s)

Answer»

there is ATLEAST ONE 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) le 5`
there is no poin tof local maxima of `F(x) ` in `(-1,1)`
for some `C in (-1,1) , F (c ) ge 6, F'(c ) =0 and f ''(c ) le 0`

Answer :A::B::D


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