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Let F (x) = (f (x ))^(2) + (f' (x ))^(2)...

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)

A

there is atleast one point in each of the intervals `(-1,0) and (0,1) ` where `|f' (x) le 2`

B

there is atleast one point in each of the intervals `(-1,0) and (0,1) ` where `F (x) le 5`

C

there is no poin tof local maxima of `F(x) ` in `(-1,1)`

D

for some `c in (-1,1) , F (c ) ge 6, F'(c ) =0 and f ''(c ) le 0`

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A, B, D
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VK JAISWAL ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )
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  14. Which of the following is/are true for the function f(x)= int (0) ^(x)...

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  15. Let F (x) = (f (x ))^(2) + (f' (x ))^(2), F (0) =6, whtere f (x) is a ...

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