find the critical point

Question

x / (x²+1)

i got (-1, -1/2) , (1, 1/2) but its wrong please help

Answer 1

There are 2 critical points, one at x = -1 and the other at x = 1.

The minimum value at x = -1 is -1/2 and the maximum value at x = 1 is 1/2.

The only thing I see wrong with your answer is that there are 2 critical points.