Thread: Find k of f(x) giving the following criteria

, where can be any number.

Find the values of such that has no critical numbers, one critical number, and two critical numbers.

If anyone could help me find one of those, I'll see if I can figure out the rest.

I'm assuming so far we set the derivative to , but I'm not sure exactly what to do.

There are no real solutions when k < 0.

There is exactly one solution when k = 0.

There are exactly two solutions when k > 0.