The population P(t) of a town after t months is given by `P(t)= (300*t)/(2t^2+9)`

The growth rate `P'(t) = (300*(2t^2 + 9) - 300*t*4t)/(2t^2 + 9)^2`

=> `(600t^2 + 2700 - 1200t^2)/(2t^2 + 9)^2`

=> `(2700 - 600*t^2)/(2t^2 + 9)^2`

**The growth rate of population is `(2700 - 600*t^2)/(2t^2 + 9)^2` thousand per month.**