Fill in the table with or 0 for the function shown Solution

Fill in the table with \"+\", or \"0\" for the function shown.

Solution

g\'(x) gives you the slope of g(x) at x

if you see the graph,

g(x) has maxima at x = 0.9 (approx) and minima at x = 2.3 (approx)

g\'(x)=0 when g(x) has a maxima or minima

using these you can plot g\'(x)

and similarly g\'\'(x)

x	g(x)	g\'(x)	g\'\'(x)
0	-	+	+
1	+	-	-
2	-	-	+
3	+	+	-