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Which of the following function has poin...

Which of the following function has point of extremum at `x=0?` `f(x)=e^(-|x|)` `f(x)="sin"|x|` `f(x)={x^2+4x+3,x<0-x , xgeq0` `f(x)={|x|,x<0{x},0lt=x<1` (where `{x}` represents fractional part function).

A

f(x) =`e^(-|x|`

B

f(x) = sin |x|

C

f(x)=`{{:(x^(2)+4x+3,xlt0),(-x,xge0):}`

D

f(x)=`{{:(x^(2)+4x+3,xlt0),(-x,xge0):}`

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