figure 15 shows the graph of the derivative f of function f

figure 15 shows the graph of the derivative f of function f find the critical points of f and determin wheather they are local minima local maxima or neither

Solution

Critical points are the points where the graph changes from increasing to decreasing or decreasing to increasing.

From the graph critical points are -1,0 and 1.5

Here, f\'(-1) is neither a local minima nor a local maxima.

f\'(0) is local maxima.

f\'(1.5) is local minima