Critical Points (Day 1)

Critical points occur at two places:

1. any where g'(x) = 0 (set derivative equal to zero)
2. any where g'(x) DNE (so look for things that would make denominator zero, negative under radical, etc)

If your derivative ends up being a rational expression (fraction with variables on top and bottom), you can set TOP = 0 to satisfy 1st condition and bottom equal to 0 to satisfy 2nd condition.

Remember:  Extrema MUST occur at critical points...but critical points do NOT necessary have to produce extrema!