Find the absolute extrema if they exist as well as all values of x where they occur for the function f(x)=-x/x^2+5

we also get critical points when the denominator is 0, namely (x²+5)² = 0

however, this denominator, doesn't give us any critical points

critical points when the denominator is 0, are usually asymptotic or "cusps", where the derivative is not continuous, but has an extrema.

10,000 hope i ! : )