f(x)= x^2/ (x^2 + 6)?

Question

Find the relative extrema, if any, of the following function. Use the second derivative test, if applicable. (Enter NONE in any unused answer blanks.)

The relative maximum is( ) at x =
The relative minimum is( ) at x =

Answer 1

For large x (either + or -) f(x)→1, so there is no relative max. f(0) = 0 is your relative min.