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If f ''(x)|le 1 AA x in R, and f (0) =0...

If `f ''(x)|le 1 AA x in R, and f (0) =0=f' (0),` then which of the following can not be true ?

A

`f (-(1)/(2)) =1/6`

B

`f (2) =-4`

C

`f (-2) =3`

D

`f ((1)/(2)) =1/5`

Text Solution

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The correct Answer is:
A, B, C, D
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VK JAISWAL-APPLICATION OF DERIVATIVES -EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )
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  4. Let f : [-3, 4] to R such that f ''(x) gt 0 for all x in [-,4], then w...

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  6. Let g (x) be a cubic polnomial having local maximum at x=-1 and g '(x)...

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  8. The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

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  17. Let f(x)=sinx+a x+bdot Then which of the following is/are true? f(x)=0...

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  18. Which of the following graphs represent function whose derivatives hav...

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