Question # 1

The derivative of the continuous function is given. Find all critical points and determines whether a relative maximum, relative minimum or neither occurs there

The critical points are solutions of:

which occur either when or , the roots of these are:

for the first and and for the second.

Now these correspond to local maxima when , minima when and (stationary) points of inflection when .

So the first of the roots gives , the second and the third

RonL