Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum $($or neither$).$ Let

$f(x)=-(3x+3sin(x)),0x2$

What are the critical point$($s$)=$

What does the Second Derivative Test tell about the first critical point: $?$

What does the Second Derivative Test tell about the second critical point $?$

What are the inflection Point$($s$)=$

On the interval $$ to the left of the critical point, $f$ is $$ and $f^{\text{'}}$ is $($Include all points where $f^{\text{'}}$ has this sign in the interval.$)$

On the interval $$ this sign in the interval.$)$ to the right of the critical point, $f$ is Decreasing $$ and $f^{\text{'}}$ is $($ Include all points where $f^{\text{'}}$ has

On the interval $$ to the left of the inflection point $f$ is $.($Include only points where $f$ has this concavity in the interval.$)$ On the interval to the right of the inflection point $f$ is $$ interval.$)($ Include only points where $f$ has this concavity in the