Answer
See the image below.
Work Step by Step
(a) The tangent line at $0$ is somewhat vertical with a slope of about $6$.
(b) At the point $x=1$, we have a horizontal tangent line, so the derivative is $0$.
(c) For this point, we have to estimate the number. If we draw a tangent line at that point, its value will be about $-\frac{3}{2}$.
(d) At the point $x=3$ the slope is about $-1.3$.
(e) At the point $x=4$, the tangent line becomes even less steep, but at the same time it starts to approach $0$. The tangent line is about $-0.8$.
(f) At the point $x=5$, the slope continues to approach $0$ and gets a value of about $-\frac{1}{3}$.
(g) At the point $x=6$, we have a horizontal tangent line, so the derivative is $0$. (From this point onward, the tangent line becomes positive).
(h) At the point $x=7$, the tangent line becomes positive and its value is about $0.2$
(Note that all of these numbers are estimated. Other answers are possible.)
