Locate and identify the stationary points for
Using quotient rule...
I find when this equals zero, i.e.
I substitute this into the original eqn to get 1/2 and -1/2. So the points are (1, 1/2) and (-1, -1/2). So far so good.
Now I want to know the nature of these points. So I go to find the second derivative...
Looks a bit messy!
I substitute 1 into the equation and get a negative number, so I gather that (1, 1/2) is a maximum point. However, when I substitute -1, I get 0. My text states that (-1, -1/2) is a local minimum, so it can't be 0, can it?
Any assistance would be greatly appreciated!