# How do you find the critical numbers for #y = x/(x^2 + 25)# to determine the maximum and minimum?

##### 1 Answer

Jul 7, 2017

By definition the critical numbers of a function are the values of

For

As the denominator is always positive:

So the critical points are

which means that

Thus

graph{x/(x^2+25) [-10, 10, -0.15, 0.15]}