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For continuous function f,f'(log(e)(x)) ...

For continuous function `f,f'(log_(e)(x)) ={{:(1 ,0lt x le1),(x",",x gt1):}`. then f(x)=.....

A

`f'(x)={{:(1 ",",x le 0),(e^(1)-1",",x gt1):}`

B

`f(x)={{:(1 ",",x le 0),(e^(1)-1",",x gt1):}`

C

`f(x)={{:(x ",",x lt 0),(e^(x)",",x gt1):}`

D

`f(x)={{:(x ",",x lt 0),(e^(x)-1",",x gt1):}`

Text Solution

Verified by Experts

The correct Answer is:
D
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