C3 maths question - differentiate to find a stationary point

Hi, I'm stuck on this question:

Q. The curve with equation y = 1/(x^2 + 1) has a single stationary point A. Find the coordinates of A.

... so I've differentiated the equation which gives dy/dx = (-2x)/(x^2 +1)^2
then I've made that equal to 0, but I'm not sure how you go on to solve it because I don't think you can just multiply up because the 0 would just cancel it out?

Thanks for any help!

(the answer is (0,1) by the way, but idk why)

The numerator must be 0 for a fraction to be equal to 0. So you're solving 2x=0