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f(x) is a continuous and differentiable ...

f(x) is a continuous and differentiable function.
`f'(x) ne 0 and |{:(f'(x),f(x)),(f''(x),f'(x)):}|=0`. If f(0)=1 and f'(0)=2 then f(x)=....

A

`x^(2)+x+1`

B

`2e^(x)-1`

C

`e^(2x)`

D

`4e^((x)/(2))-3`

Text Solution

Verified by Experts

The correct Answer is:
C
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