Interval of Increase/decrease of f(x) = (-24x)/(x^2-4)^2, use a number line.
I got (0,0) for the critical point, but the questions states that I must use a number line to then find the the I.O.I and I.O.D, I'm confused, would there be 2 or 3 intervals on the number line ? 2 intervals (x<0 and x>0), 3 intervals (x<0, 0<x<0, x>0), and what would the I.O.I and I.O.D be ?
three intervals
f' > 0 on (-∞,-2)U(2,∞)
f' < 0 on (-2,2)