Answer
See below.
Work Step by Step
When we have $f^{\prime}(x)<0$ for a particular interval, the graph of $\mathrm{f}(\mathrm{x})$ is monotonically decreasing in that interval.
When we get $f^{\prime}(x)>0$ for a particular interval, the graph of $f(x)$ is monotonically increasing in that interval.
When we get $f^{\prime \prime}(x)<0,$ for a particular interval, the graph of $f(x)$ is concave downward in that interval.
When we get $f^{\prime \prime}(x)>0,$ for a particular interval, the graph of $f(x)$ is concave upward in that interval.
