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If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/...

If `f'(x^(2))=(ln x)/(x^(2))` and `f(1)=-1/4` then which of the following is/are true

A

`f(e)=0`

B

`f'(e)=1/(2e)`

C

`f''(e)=f(e)`

D

`f''(e)=f'(e)`

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