First, start differentiating the function.
For the function: y=2x^2/x^2-1
(i) Find all stationary points.
(ii) Find the intervals where y is increasing and the intervals where y is decreasing.
(iii) Find all local minima and local maxima.
(iv) Find all inflection points.
(v) Sketch the graph, indicating all maxima and minima, and all in
putting gives (0,0) as stationary point
Now for x < 0, y is increasing and for x > 0, y is decreasing
apply second derivative test to find (0,0) as maxima
curve has no point of inflection
You forgot a square in the denominator:
Which is offcourse don't make any difference in calculating the stationary points, but maybe for the inflection points it does.