given: 1st derivative is

Question

2(2-3x-2x^2)/(1+x^2)^2 (quotient rule)

I've found the stationary points to be x=1/2 and x=-2

Am I on the right track?

If so, I plan to plug in values to the L andR of them into the whole derivative so as to clasify them. Still on track?

Thanks

those are the correct values of x where the derivative is zero.

I don't know what you mean by the second part.

Thanks for the confirmation: The second part refers to deciding whether the zero points are minima or maxima.