5. Termites live in a colony in which each individual (ignoring the king and queen) develops into one of two highly specialized castes: workers who forage for food and maintain the colony's nest, and soldiers who defend the colony from ants and other predators. Assume that X represents the fraction of termites in a colony that are workers. and the rest (1 X) are soldiers. While studying a termite colony, you develop a function describing the growth rate of the colony as a function of X: f(X) = x/x2 2X Ex 4 When the growth rate is maximized. what fraction of the termites will be workers? (Note: Don't just find the critical point(s). Be sure to test whether each one is a maximum or minimum.)