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If f(x)=sqrt(x^2+6x+9) , then f^(prime)(...

If `f(x)=sqrt(x^2+6x+9)` , then `f^(prime)(x)` is equal to (a) `1` for `x<-3` (b) `-1` for `x<-3` (c) `1` for all `x in R` (d) none of these

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`f(x)=sqrt((x+3)^2)`
`f(x)=abs(x+3)`
`f(x)={((x+3),x+3 >= 0 => x >= -3),(x(x+3),x+3 >= 0 => x >= -3):}`
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