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There exists a function f(x) satisfying...

There exists a function f(x) satisfying `f(0)=1, f'(0)=-1, f(x) gt 0`, for all x, then :

A

`f''(x) lt -2`, for all x

B

`-2 le f''(x) le -1`, for all x

C

`1 le f''(x) lt 0` for all x

D

`f''(x) gt 0`, for all x.

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Verified by Experts

The correct Answer is:
C
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