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Let f (x) be twice differentialbe functi...

Let f (x) be twice differentialbe function such that `f'' (x) gt 0` in `[0,2].` Then :

A

increasing on (0, 1) and decreasing on (1, 2)

B

decreasing on (0, 1) and increasing on (1, 2)

C

decreasing on (0, 2)

D

increasing on (0, 2)

Text Solution

Verified by Experts

The correct Answer is:
B
`f'(x)gt0AA"x"in(0,2)`
`impliesf'(x)is uarr` function
`phi'(x)=f'(x)-f'(2-x)`
If `"x" in(0,1)`
`phi'(x)gt0rArrphi(x)` is increasing
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